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Simplifying 3(5 + z) + 2 = 10 (5 * 3 + z * 3) + 2 = 10 (15 + 3z) + 2 = 10 Reorder the terms: 15 + 2 + 3z = 10 Combine like terms: 15 + 2 = 17 17 + 3z = 10 Solving 17 + 3z = 10 Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-17' to each side of the equation. 17 + -17 + 3z = 10 + -17 Combine like terms: 17 + -17 = 0 0 + 3z = 10 + -17 3z = 10 + -17 Combine like terms: 10 + -17 = -7 3z = -7 Divide each side by '3'. z = -2.333333333 Simplifying z = -2.333333333
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