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Simplifying 3z + -60 = 3(5z + -4) Reorder the terms: -60 + 3z = 3(5z + -4) Reorder the terms: -60 + 3z = 3(-4 + 5z) -60 + 3z = (-4 * 3 + 5z * 3) -60 + 3z = (-12 + 15z) Solving -60 + 3z = -12 + 15z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-15z' to each side of the equation. -60 + 3z + -15z = -12 + 15z + -15z Combine like terms: 3z + -15z = -12z -60 + -12z = -12 + 15z + -15z Combine like terms: 15z + -15z = 0 -60 + -12z = -12 + 0 -60 + -12z = -12 Add '60' to each side of the equation. -60 + 60 + -12z = -12 + 60 Combine like terms: -60 + 60 = 0 0 + -12z = -12 + 60 -12z = -12 + 60 Combine like terms: -12 + 60 = 48 -12z = 48 Divide each side by '-12'. z = -4 Simplifying z = -4
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