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Simplifying 3z + 45 = 3(5z + 3) Reorder the terms: 45 + 3z = 3(5z + 3) Reorder the terms: 45 + 3z = 3(3 + 5z) 45 + 3z = (3 * 3 + 5z * 3) 45 + 3z = (9 + 15z) Solving 45 + 3z = 9 + 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. 45 + 3z + -15z = 9 + 15z + -15z Combine like terms: 3z + -15z = -12z 45 + -12z = 9 + 15z + -15z Combine like terms: 15z + -15z = 0 45 + -12z = 9 + 0 45 + -12z = 9 Add '-45' to each side of the equation. 45 + -45 + -12z = 9 + -45 Combine like terms: 45 + -45 = 0 0 + -12z = 9 + -45 -12z = 9 + -45 Combine like terms: 9 + -45 = -36 -12z = -36 Divide each side by '-12'. z = 3 Simplifying z = 3
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