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Simplifying -45(z + -12) = -12(z + 3) Reorder the terms: -45(-12 + z) = -12(z + 3) (-12 * -45 + z * -45) = -12(z + 3) (540 + -45z) = -12(z + 3) Reorder the terms: 540 + -45z = -12(3 + z) 540 + -45z = (3 * -12 + z * -12) 540 + -45z = (-36 + -12z) Solving 540 + -45z = -36 + -12z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '12z' to each side of the equation. 540 + -45z + 12z = -36 + -12z + 12z Combine like terms: -45z + 12z = -33z 540 + -33z = -36 + -12z + 12z Combine like terms: -12z + 12z = 0 540 + -33z = -36 + 0 540 + -33z = -36 Add '-540' to each side of the equation. 540 + -540 + -33z = -36 + -540 Combine like terms: 540 + -540 = 0 0 + -33z = -36 + -540 -33z = -36 + -540 Combine like terms: -36 + -540 = -576 -33z = -576 Divide each side by '-33'. z = 17.45454545 Simplifying z = 17.45454545
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