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Simplifying 3z + 48 = 12z + 12 Reorder the terms: 48 + 3z = 12z + 12 Reorder the terms: 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 = -9z 48 + -9z = 12 + 12z + -12z Combine like terms: 12z + -12z = 0 48 + -9z = 12 + 0 48 + -9z = 12 Add '-48' to each side of the equation. 48 + -48 + -9z = 12 + -48 Combine like terms: 48 + -48 = 0 0 + -9z = 12 + -48 -9z = 12 + -48 Combine like terms: 12 + -48 = -36 -9z = -36 Divide each side by '-9'. z = 4 Simplifying z = 4
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