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Simplifying -3z + 48 = 3(4z + -4) Reorder the terms: 48 + -3z = 3(4z + -4) Reorder the terms: 48 + -3z = 3(-4 + 4z) 48 + -3z = (-4 * 3 + 4z * 3) 48 + -3z = (-12 + 12z) Solving 48 + -3z = -12 + 12z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-12z' to each side of the equation. 48 + -3z + -12z = -12 + 12z + -12z Combine like terms: -3z + -12z = -15z 48 + -15z = -12 + 12z + -12z Combine like terms: 12z + -12z = 0 48 + -15z = -12 + 0 48 + -15z = -12 Add '-48' to each side of the equation. 48 + -48 + -15z = -12 + -48 Combine like terms: 48 + -48 = 0 0 + -15z = -12 + -48 -15z = -12 + -48 Combine like terms: -12 + -48 = -60 -15z = -60 Divide each side by '-15'. z = 4 Simplifying z = 4
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