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Simplifying 4(1z + 12) = 1(1z + -24) Reorder the terms: 4(12 + 1z) = 1(1z + -24) (12 * 4 + 1z * 4) = 1(1z + -24) (48 + 4z) = 1(1z + -24) Reorder the terms: 48 + 4z = 1(-24 + 1z) 48 + 4z = (-24 * 1 + 1z * 1) 48 + 4z = (-24 + 1z) Solving 48 + 4z = -24 + 1z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-1z' to each side of the equation. 48 + 4z + -1z = -24 + 1z + -1z Combine like terms: 4z + -1z = 3z 48 + 3z = -24 + 1z + -1z Combine like terms: 1z + -1z = 0 48 + 3z = -24 + 0 48 + 3z = -24 Add '-48' to each side of the equation. 48 + -48 + 3z = -24 + -48 Combine like terms: 48 + -48 = 0 0 + 3z = -24 + -48 3z = -24 + -48 Combine like terms: -24 + -48 = -72 3z = -72 Divide each side by '3'. z = -24 Simplifying z = -24
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