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Simplifying 6(4z + 2) = -3(8z + 4) Reorder the terms: 6(2 + 4z) = -3(8z + 4) (2 * 6 + 4z * 6) = -3(8z + 4) (12 + 24z) = -3(8z + 4) Reorder the terms: 12 + 24z = -3(4 + 8z) 12 + 24z = (4 * -3 + 8z * -3) 12 + 24z = (-12 + -24z) Solving 12 + 24z = -12 + -24z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '24z' to each side of the equation. 12 + 24z + 24z = -12 + -24z + 24z Combine like terms: 24z + 24z = 48z 12 + 48z = -12 + -24z + 24z Combine like terms: -24z + 24z = 0 12 + 48z = -12 + 0 12 + 48z = -12 Add '-12' to each side of the equation. 12 + -12 + 48z = -12 + -12 Combine like terms: 12 + -12 = 0 0 + 48z = -12 + -12 48z = -12 + -12 Combine like terms: -12 + -12 = -24 48z = -24 Divide each side by '48'. z = -0.5 Simplifying z = -0.5
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