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Simplifying 127 = 8(z + -9) Reorder the terms: 127 = 8(-9 + z) 127 = (-9 * 8 + z * 8) 127 = (-72 + 8z) Solving 127 = -72 + 8z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-8z' to each side of the equation. 127 + -8z = -72 + 8z + -8z Combine like terms: 8z + -8z = 0 127 + -8z = -72 + 0 127 + -8z = -72 Add '-127' to each side of the equation. 127 + -127 + -8z = -72 + -127 Combine like terms: 127 + -127 = 0 0 + -8z = -72 + -127 -8z = -72 + -127 Combine like terms: -72 + -127 = -199 -8z = -199 Divide each side by '-8'. z = 24.875 Simplifying z = 24.875
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