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Simplifying 8(z + 4) = 5(13) + 5(2) Reorder the terms: 8(4 + z) = 5(13) + 5(2) (4 * 8 + z * 8) = 5(13) + 5(2) (32 + 8z) = 5(13) + 5(2) Multiply 5 * 13 32 + 8z = 65 + 5(2) Multiply 5 * 2 32 + 8z = 65 + 10 Combine like terms: 65 + 10 = 75 32 + 8z = 75 Solving 32 + 8z = 75 Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-32' to each side of the equation. 32 + -32 + 8z = 75 + -32 Combine like terms: 32 + -32 = 0 0 + 8z = 75 + -32 8z = 75 + -32 Combine like terms: 75 + -32 = 43 8z = 43 Divide each side by '8'. z = 5.375 Simplifying z = 5.375
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