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Simplifying 4(3z + 8) = 8 + -3(z + -8) Reorder the terms: 4(8 + 3z) = 8 + -3(z + -8) (8 * 4 + 3z * 4) = 8 + -3(z + -8) (32 + 12z) = 8 + -3(z + -8) Reorder the terms: 32 + 12z = 8 + -3(-8 + z) 32 + 12z = 8 + (-8 * -3 + z * -3) 32 + 12z = 8 + (24 + -3z) Combine like terms: 8 + 24 = 32 32 + 12z = 32 + -3z Add '-32' to each side of the equation. 32 + -32 + 12z = 32 + -32 + -3z Combine like terms: 32 + -32 = 0 0 + 12z = 32 + -32 + -3z 12z = 32 + -32 + -3z Combine like terms: 32 + -32 = 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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