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Simplifying 3(4z + 8) = -6z + -48 Reorder the terms: 3(8 + 4z) = -6z + -48 (8 * 3 + 4z * 3) = -6z + -48 (24 + 12z) = -6z + -48 Reorder the terms: 24 + 12z = -48 + -6z Solving 24 + 12z = -48 + -6z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '6z' to each side of the equation. 24 + 12z + 6z = -48 + -6z + 6z Combine like terms: 12z + 6z = 18z 24 + 18z = -48 + -6z + 6z Combine like terms: -6z + 6z = 0 24 + 18z = -48 + 0 24 + 18z = -48 Add '-24' to each side of the equation. 24 + -24 + 18z = -48 + -24 Combine like terms: 24 + -24 = 0 0 + 18z = -48 + -24 18z = -48 + -24 Combine like terms: -48 + -24 = -72 18z = -72 Divide each side by '18'. z = -4 Simplifying z = -4
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