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Simplifying 5(z + -21) = 9(z + 15) Reorder the terms: 5(-21 + z) = 9(z + 15) (-21 * 5 + z * 5) = 9(z + 15) (-105 + 5z) = 9(z + 15) Reorder the terms: -105 + 5z = 9(15 + z) -105 + 5z = (15 * 9 + z * 9) -105 + 5z = (135 + 9z) Solving -105 + 5z = 135 + 9z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-9z' to each side of the equation. -105 + 5z + -9z = 135 + 9z + -9z Combine like terms: 5z + -9z = -4z -105 + -4z = 135 + 9z + -9z Combine like terms: 9z + -9z = 0 -105 + -4z = 135 + 0 -105 + -4z = 135 Add '105' to each side of the equation. -105 + 105 + -4z = 135 + 105 Combine like terms: -105 + 105 = 0 0 + -4z = 135 + 105 -4z = 135 + 105 Combine like terms: 135 + 105 = 240 -4z = 240 Divide each side by '-4'. z = -60 Simplifying z = -60
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