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Simplifying 8(z + 2) = 5(2 + 1) + -13 Reorder the terms: 8(2 + z) = 5(2 + 1) + -13 (2 * 8 + z * 8) = 5(2 + 1) + -13 (16 + 8z) = 5(2 + 1) + -13 Combine like terms: 2 + 1 = 3 16 + 8z = 5(3) + -13 Multiply 5 * 3 16 + 8z = 15 + -13 Combine like terms: 15 + -13 = 2 16 + 8z = 2 Solving 16 + 8z = 2 Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-16' to each side of the equation. 16 + -16 + 8z = 2 + -16 Combine like terms: 16 + -16 = 0 0 + 8z = 2 + -16 8z = 2 + -16 Combine like terms: 2 + -16 = -14 8z = -14 Divide each side by '8'. z = -1.75 Simplifying z = -1.75
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