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Simplifying 8(z + 3) = 4(z + 1) + -12 Reorder the terms: 8(3 + z) = 4(z + 1) + -12 (3 * 8 + z * 8) = 4(z + 1) + -12 (24 + 8z) = 4(z + 1) + -12 Reorder the terms: 24 + 8z = 4(1 + z) + -12 24 + 8z = (1 * 4 + z * 4) + -12 24 + 8z = (4 + 4z) + -12 Reorder the terms: 24 + 8z = 4 + -12 + 4z Combine like terms: 4 + -12 = -8 24 + 8z = -8 + 4z Solving 24 + 8z = -8 + 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. 24 + 8z + -4z = -8 + 4z + -4z Combine like terms: 8z + -4z = 4z 24 + 4z = -8 + 4z + -4z Combine like terms: 4z + -4z = 0 24 + 4z = -8 + 0 24 + 4z = -8 Add '-24' to each side of the equation. 24 + -24 + 4z = -8 + -24 Combine like terms: 24 + -24 = 0 0 + 4z = -8 + -24 4z = -8 + -24 Combine like terms: -8 + -24 = -32 4z = -32 Divide each side by '4'. z = -8 Simplifying z = -8
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