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Simplifying -8 = 3(5z + -3) + -2(7z + 2) Reorder the terms: -8 = 3(-3 + 5z) + -2(7z + 2) -8 = (-3 * 3 + 5z * 3) + -2(7z + 2) -8 = (-9 + 15z) + -2(7z + 2) Reorder the terms: -8 = -9 + 15z + -2(2 + 7z) -8 = -9 + 15z + (2 * -2 + 7z * -2) -8 = -9 + 15z + (-4 + -14z) Reorder the terms: -8 = -9 + -4 + 15z + -14z Combine like terms: -9 + -4 = -13 -8 = -13 + 15z + -14z Combine like terms: 15z + -14z = 1z -8 = -13 + 1z Solving -8 = -13 + 1z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-1z' to each side of the equation. -8 + -1z = -13 + 1z + -1z Combine like terms: 1z + -1z = 0 -8 + -1z = -13 + 0 -8 + -1z = -13 Add '8' to each side of the equation. -8 + 8 + -1z = -13 + 8 Combine like terms: -8 + 8 = 0 0 + -1z = -13 + 8 -1z = -13 + 8 Combine like terms: -13 + 8 = -5 -1z = -5 Divide each side by '-1'. z = 5 Simplifying z = 5
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