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Simplifying -8(z + -1) = -7(z + 3) Reorder the terms: -8(-1 + z) = -7(z + 3) (-1 * -8 + z * -8) = -7(z + 3) (8 + -8z) = -7(z + 3) Reorder the terms: 8 + -8z = -7(3 + z) 8 + -8z = (3 * -7 + z * -7) 8 + -8z = (-21 + -7z) Solving 8 + -8z = -21 + -7z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '7z' to each side of the equation. 8 + -8z + 7z = -21 + -7z + 7z Combine like terms: -8z + 7z = -1z 8 + -1z = -21 + -7z + 7z Combine like terms: -7z + 7z = 0 8 + -1z = -21 + 0 8 + -1z = -21 Add '-8' to each side of the equation. 8 + -8 + -1z = -21 + -8 Combine like terms: 8 + -8 = 0 0 + -1z = -21 + -8 -1z = -21 + -8 Combine like terms: -21 + -8 = -29 -1z = -29 Divide each side by '-1'. z = 29 Simplifying z = 29
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