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Simplifying 24 = 12(z + 1) + -4(4z + -3) Reorder the terms: 24 = 12(1 + z) + -4(4z + -3) 24 = (1 * 12 + z * 12) + -4(4z + -3) 24 = (12 + 12z) + -4(4z + -3) Reorder the terms: 24 = 12 + 12z + -4(-3 + 4z) 24 = 12 + 12z + (-3 * -4 + 4z * -4) 24 = 12 + 12z + (12 + -16z) Reorder the terms: 24 = 12 + 12 + 12z + -16z Combine like terms: 12 + 12 = 24 24 = 24 + 12z + -16z Combine like terms: 12z + -16z = -4z 24 = 24 + -4z Add '-24' to each side of the equation. 24 + -24 = 24 + -24 + -4z Combine like terms: 24 + -24 = 0 0 = 24 + -24 + -4z Combine like terms: 24 + -24 = 0 0 = 0 + -4z 0 = -4z Solving 0 = -4z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '4z' to each side of the equation. 0 + 4z = -4z + 4z Remove the zero: 4z = -4z + 4z Combine like terms: -4z + 4z = 0 4z = 0 Divide each side by '4'. z = 0 Simplifying z = 0
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