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Simplifying 3(4z + 4) = -2(z + 9) Reorder the terms: 3(4 + 4z) = -2(z + 9) (4 * 3 + 4z * 3) = -2(z + 9) (12 + 12z) = -2(z + 9) Reorder the terms: 12 + 12z = -2(9 + z) 12 + 12z = (9 * -2 + z * -2) 12 + 12z = (-18 + -2z) Solving 12 + 12z = -18 + -2z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '2z' to each side of the equation. 12 + 12z + 2z = -18 + -2z + 2z Combine like terms: 12z + 2z = 14z 12 + 14z = -18 + -2z + 2z Combine like terms: -2z + 2z = 0 12 + 14z = -18 + 0 12 + 14z = -18 Add '-12' to each side of the equation. 12 + -12 + 14z = -18 + -12 Combine like terms: 12 + -12 = 0 0 + 14z = -18 + -12 14z = -18 + -12 Combine like terms: -18 + -12 = -30 14z = -30 Divide each side by '14'. z = -2.142857143 Simplifying z = -2.142857143
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