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Simplifying 3(-1z + 12) = 4(15 + d) Reorder the terms: 3(12 + -1z) = 4(15 + d) (12 * 3 + -1z * 3) = 4(15 + d) (36 + -3z) = 4(15 + d) 36 + -3z = (15 * 4 + d * 4) 36 + -3z = (60 + 4d) Solving 36 + -3z = 60 + 4d Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-36' to each side of the equation. 36 + -36 + -3z = 60 + -36 + 4d Combine like terms: 36 + -36 = 0 0 + -3z = 60 + -36 + 4d -3z = 60 + -36 + 4d Combine like terms: 60 + -36 = 24 -3z = 24 + 4d Divide each side by '-3'. z = -8 + -1.333333333d Simplifying z = -8 + -1.333333333d
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