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Simplifying 15(7.35 + -0.58(-1.25 + -2z) + -0.06z) + 0.4(-1.25 + -2z) + 2z + -19.1 + 3(7.35 + -0.58(-1.25 + -2z) + -0.06z) + 10(-1.25 + -2z) + -1z + -23.25 = 90 15(7.35 + (-1.25 * -0.58 + -2z * -0.58) + -0.06z) + 0.4(-1.25 + -2z) + 2z + -19.1 + 3(7.35 + -0.58(-1.25 + -2z) + -0.06z) + 10(-1.25 + -2z) + -1z + -23.25 = 90 15(7.35 + (0.725 + 1.16z) + -0.06z) + 0.4(-1.25 + -2z) + 2z + -19.1 + 3(7.35 + -0.58(-1.25 + -2z) + -0.06z) + 10(-1.25 + -2z) + -1z + -23.25 = 90 Combine like terms: 7.35 + 0.725 = 8.075 15(8.075 + 1.16z + -0.06z) + 0.4(-1.25 + -2z) + 2z + -19.1 + 3(7.35 + -0.58(-1.25 + -2z) + -0.06z) + 10(-1.25 + -2z) + -1z + -23.25 = 90 Combine like terms: 1.16z + -0.06z = 1.1z 15(8.075 + 1.1z) + 0.4(-1.25 + -2z) + 2z + -19.1 + 3(7.35 + -0.58(-1.25 + -2z) + -0.06z) + 10(-1.25 + -2z) + -1z + -23.25 = 90 (8.075 * 15 + 1.1z * 15) + 0.4(-1.25 + -2z) + 2z + -19.1 + 3(7.35 + -0.58(-1.25 + -2z) + -0.06z) + 10(-1.25 + -2z) + -1z + -23.25 = 90 (121.125 + 16.5z) + 0.4(-1.25 + -2z) + 2z + -19.1 + 3(7.35 + -0.58(-1.25 + -2z) + -0.06z) + 10(-1.25 + -2z) + -1z + -23.25 = 90 121.125 + 16.5z + (-1.25 * 0.4 + -2z * 0.4) + 2z + -19.1 + 3(7.35 + -0.58(-1.25 + -2z) + -0.06z) + 10(-1.25 + -2z) + -1z + -23.25 = 90 121.125 + 16.5z + (-0.5 + -0.8z) + 2z + -19.1 + 3(7.35 + -0.58(-1.25 + -2z) + -0.06z) + 10(-1.25 + -2z) + -1z + -23.25 = 90 121.125 + 16.5z + -0.5 + -0.8z + 2z + -19.1 + 3(7.35 + (-1.25 * -0.58 + -2z * -0.58) + -0.06z) + 10(-1.25 + -2z) + -1z + -23.25 = 90 121.125 + 16.5z + -0.5 + -0.8z + 2z + -19.1 + 3(7.35 + (0.725 + 1.16z) + -0.06z) + 10(-1.25 + -2z) + -1z + -23.25 = 90 Combine like terms: 7.35 + 0.725 = 8.075 121.125 + 16.5z + -0.5 + -0.8z + 2z + -19.1 + 3(8.075 + 1.16z + -0.06z) + 10(-1.25 + -2z) + -1z + -23.25 = 90 Combine like terms: 1.16z + -0.06z = 1.1z 121.125 + 16.5z + -0.5 + -0.8z + 2z + -19.1 + 3(8.075 + 1.1z) + 10(-1.25 + -2z) + -1z + -23.25 = 90 121.125 + 16.5z + -0.5 + -0.8z + 2z + -19.1 + (8.075 * 3 + 1.1z * 3) + 10(-1.25 + -2z) + -1z + -23.25 = 90 121.125 + 16.5z + -0.5 + -0.8z + 2z + -19.1 + (24.225 + 3.3z) + 10(-1.25 + -2z) + -1z + -23.25 = 90 121.125 + 16.5z + -0.5 + -0.8z + 2z + -19.1 + 24.225 + 3.3z + (-1.25 * 10 + -2z * 10) + -1z + -23.25 = 90 121.125 + 16.5z + -0.5 + -0.8z + 2z + -19.1 + 24.225 + 3.3z + (-12.5 + -20z) + -1z + -23.25 = 90 Reorder the terms: 121.125 + -0.5 + -19.1 + 24.225 + -12.5 + -23.25 + 16.5z + -0.8z + 2z + 3.3z + -20z + -1z = 90 Combine like terms: 121.125 + -0.5 = 120.625 120.625 + -19.1 + 24.225 + -12.5 + -23.25 + 16.5z + -0.8z + 2z + 3.3z + -20z + -1z = 90 Combine like terms: 120.625 + -19.1 = 101.525 101.525 + 24.225 + -12.5 + -23.25 + 16.5z + -0.8z + 2z + 3.3z + -20z + -1z = 90 Combine like terms: 101.525 + 24.225 = 125.75 125.75 + -12.5 + -23.25 + 16.5z + -0.8z + 2z + 3.3z + -20z + -1z = 90 Combine like terms: 125.75 + -12.5 = 113.25 113.25 + -23.25 + 16.5z + -0.8z + 2z + 3.3z + -20z + -1z = 90 Combine like terms: 113.25 + -23.25 = 90 90 + 16.5z + -0.8z + 2z + 3.3z + -20z + -1z = 90 Combine like terms: 16.5z + -0.8z = 15.7z 90 + 15.7z + 2z + 3.3z + -20z + -1z = 90 Combine like terms: 15.7z + 2z = 17.7z 90 + 17.7z + 3.3z + -20z + -1z = 90 Combine like terms: 17.7z + 3.3z = 21z 90 + 21z + -20z + -1z = 90 Combine like terms: 21z + -20z = 1z 90 + 1z + -1z = 90 Combine like terms: 1z + -1z = 0 90 + 0 = 90 90 = 90 Add '-90' to each side of the equation. 90 + -90 = 90 + -90 Combine like terms: 90 + -90 = 0 0 = 90 + -90 Combine like terms: 90 + -90 = 0 0 = 0 Solving 0 = 0 Couldn't find a variable to solve for. This equation is an identity, all real numbers are solutions.
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