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Simplifying 7(z + -9) = 5(z + -1) Reorder the terms: 7(-9 + z) = 5(z + -1) (-9 * 7 + z * 7) = 5(z + -1) (-63 + 7z) = 5(z + -1) Reorder the terms: -63 + 7z = 5(-1 + z) -63 + 7z = (-1 * 5 + z * 5) -63 + 7z = (-5 + 5z) Solving -63 + 7z = -5 + 5z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-5z' to each side of the equation. -63 + 7z + -5z = -5 + 5z + -5z Combine like terms: 7z + -5z = 2z -63 + 2z = -5 + 5z + -5z Combine like terms: 5z + -5z = 0 -63 + 2z = -5 + 0 -63 + 2z = -5 Add '63' to each side of the equation. -63 + 63 + 2z = -5 + 63 Combine like terms: -63 + 63 = 0 0 + 2z = -5 + 63 2z = -5 + 63 Combine like terms: -5 + 63 = 58 2z = 58 Divide each side by '2'. z = 29 Simplifying z = 29
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