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Simplifying 7(z + 8) + -1(5z + -1) = z Reorder the terms: 7(8 + z) + -1(5z + -1) = z (8 * 7 + z * 7) + -1(5z + -1) = z (56 + 7z) + -1(5z + -1) = z Reorder the terms: 56 + 7z + -1(-1 + 5z) = z 56 + 7z + (-1 * -1 + 5z * -1) = z 56 + 7z + (1 + -5z) = z Reorder the terms: 56 + 1 + 7z + -5z = z Combine like terms: 56 + 1 = 57 57 + 7z + -5z = z Combine like terms: 7z + -5z = 2z 57 + 2z = z Solving 57 + 2z = z 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. 57 + 2z + -1z = z + -1z Combine like terms: 2z + -1z = 1z 57 + 1z = z + -1z Combine like terms: z + -1z = 0 57 + 1z = 0 Add '-57' to each side of the equation. 57 + -57 + 1z = 0 + -57 Combine like terms: 57 + -57 = 0 0 + 1z = 0 + -57 1z = 0 + -57 Combine like terms: 0 + -57 = -57 1z = -57 Divide each side by '1'. z = -57 Simplifying z = -57
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