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Simplifying -4(z + -12) = 42 Reorder the terms: -4(-12 + z) = 42 (-12 * -4 + z * -4) = 42 (48 + -4z) = 42 Solving 48 + -4z = 42 Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-48' to each side of the equation. 48 + -48 + -4z = 42 + -48 Combine like terms: 48 + -48 = 0 0 + -4z = 42 + -48 -4z = 42 + -48 Combine like terms: 42 + -48 = -6 -4z = -6 Divide each side by '-4'. z = 1.5 Simplifying z = 1.5
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