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Simplifying 3(27 + -4) = 5(z + 2) Combine like terms: 27 + -4 = 23 3(23) = 5(z + 2) Multiply 3 * 23 69 = 5(z + 2) Reorder the terms: 69 = 5(2 + z) 69 = (2 * 5 + z * 5) 69 = (10 + 5z) Solving 69 = 10 + 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. 69 + -5z = 10 + 5z + -5z Combine like terms: 5z + -5z = 0 69 + -5z = 10 + 0 69 + -5z = 10 Add '-69' to each side of the equation. 69 + -69 + -5z = 10 + -69 Combine like terms: 69 + -69 = 0 0 + -5z = 10 + -69 -5z = 10 + -69 Combine like terms: 10 + -69 = -59 -5z = -59 Divide each side by '-5'. z = 11.8 Simplifying z = 11.8
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