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Simplifying 4(z + 3) = 3(2z + 3) Reorder the terms: 4(3 + z) = 3(2z + 3) (3 * 4 + z * 4) = 3(2z + 3) (12 + 4z) = 3(2z + 3) Reorder the terms: 12 + 4z = 3(3 + 2z) 12 + 4z = (3 * 3 + 2z * 3) 12 + 4z = (9 + 6z) Solving 12 + 4z = 9 + 6z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-6z' to each side of the equation. 12 + 4z + -6z = 9 + 6z + -6z Combine like terms: 4z + -6z = -2z 12 + -2z = 9 + 6z + -6z Combine like terms: 6z + -6z = 0 12 + -2z = 9 + 0 12 + -2z = 9 Add '-12' to each side of the equation. 12 + -12 + -2z = 9 + -12 Combine like terms: 12 + -12 = 0 0 + -2z = 9 + -12 -2z = 9 + -12 Combine like terms: 9 + -12 = -3 -2z = -3 Divide each side by '-2'. z = 1.5 Simplifying z = 1.5
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