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Simplifying 8(z + 3) = 5(z + 2) + -13 Reorder the terms: 8(3 + z) = 5(z + 2) + -13 (3 * 8 + z * 8) = 5(z + 2) + -13 (24 + 8z) = 5(z + 2) + -13 Reorder the terms: 24 + 8z = 5(2 + z) + -13 24 + 8z = (2 * 5 + z * 5) + -13 24 + 8z = (10 + 5z) + -13 Reorder the terms: 24 + 8z = 10 + -13 + 5z Combine like terms: 10 + -13 = -3 24 + 8z = -3 + 5z Solving 24 + 8z = -3 + 5z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-5z' to each side of the equation. 24 + 8z + -5z = -3 + 5z + -5z Combine like terms: 8z + -5z = 3z 24 + 3z = -3 + 5z + -5z Combine like terms: 5z + -5z = 0 24 + 3z = -3 + 0 24 + 3z = -3 Add '-24' to each side of the equation. 24 + -24 + 3z = -3 + -24 Combine like terms: 24 + -24 = 0 0 + 3z = -3 + -24 3z = -3 + -24 Combine like terms: -3 + -24 = -27 3z = -27 Divide each side by '3'. z = -9 Simplifying z = -9
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