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Simplifying 48 = -8(-3 + -3z) 48 = (-3 * -8 + -3z * -8) 48 = (24 + 24z) Solving 48 = 24 + 24z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-24z' to each side of the equation. 48 + -24z = 24 + 24z + -24z Combine like terms: 24z + -24z = 0 48 + -24z = 24 + 0 48 + -24z = 24 Add '-48' to each side of the equation. 48 + -48 + -24z = 24 + -48 Combine like terms: 48 + -48 = 0 0 + -24z = 24 + -48 -24z = 24 + -48 Combine like terms: 24 + -48 = -24 -24z = -24 Divide each side by '-24'. z = 1 Simplifying z = 1
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