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Simplifying 5z + -4(z + 1) = 3(z + -4) + -2z Reorder the terms: 5z + -4(1 + z) = 3(z + -4) + -2z 5z + (1 * -4 + z * -4) = 3(z + -4) + -2z 5z + (-4 + -4z) = 3(z + -4) + -2z Reorder the terms: -4 + 5z + -4z = 3(z + -4) + -2z Combine like terms: 5z + -4z = 1z -4 + 1z = 3(z + -4) + -2z Reorder the terms: -4 + 1z = 3(-4 + z) + -2z -4 + 1z = (-4 * 3 + z * 3) + -2z -4 + 1z = (-12 + 3z) + -2z Combine like terms: 3z + -2z = 1z -4 + 1z = -12 + 1z Add '-1z' to each side of the equation. -4 + 1z + -1z = -12 + 1z + -1z Combine like terms: 1z + -1z = 0 -4 + 0 = -12 + 1z + -1z -4 = -12 + 1z + -1z Combine like terms: 1z + -1z = 0 -4 = -12 + 0 -4 = -12 Solving -4 = -12 Couldn't find a variable to solve for. This equation is invalid, the left and right sides are not equal, therefore there is no solution.
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