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Simplifying 4(2z + 3) = 3 + -3(2 + -3) Reorder the terms: 4(3 + 2z) = 3 + -3(2 + -3) (3 * 4 + 2z * 4) = 3 + -3(2 + -3) (12 + 8z) = 3 + -3(2 + -3) Combine like terms: 2 + -3 = -1 12 + 8z = 3 + -3(-1) Multiply -3 * -1 12 + 8z = 3 + 3 Combine like terms: 3 + 3 = 6 12 + 8z = 6 Solving 12 + 8z = 6 Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-12' to each side of the equation. 12 + -12 + 8z = 6 + -12 Combine like terms: 12 + -12 = 0 0 + 8z = 6 + -12 8z = 6 + -12 Combine like terms: 6 + -12 = -6 8z = -6 Divide each side by '8'. z = -0.75 Simplifying z = -0.75
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