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Simplifying 4(3z + 3) = 3 + -3(z + -3) Reorder the terms: 4(3 + 3z) = 3 + -3(z + -3) (3 * 4 + 3z * 4) = 3 + -3(z + -3) (12 + 12z) = 3 + -3(z + -3) Reorder the terms: 12 + 12z = 3 + -3(-3 + z) 12 + 12z = 3 + (-3 * -3 + z * -3) 12 + 12z = 3 + (9 + -3z) Combine like terms: 3 + 9 = 12 12 + 12z = 12 + -3z Add '-12' to each side of the equation. 12 + -12 + 12z = 12 + -12 + -3z Combine like terms: 12 + -12 = 0 0 + 12z = 12 + -12 + -3z 12z = 12 + -12 + -3z Combine like terms: 12 + -12 = 0 12z = 0 + -3z 12z = -3z Solving 12z = -3z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '3z' to each side of the equation. 12z + 3z = -3z + 3z Combine like terms: 12z + 3z = 15z 15z = -3z + 3z Combine like terms: -3z + 3z = 0 15z = 0 Divide each side by '15'. z = 0 Simplifying z = 0
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