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Simplifying 5(3w + 2) + -2w = 9 Reorder the terms: 5(2 + 3w) + -2w = 9 (2 * 5 + 3w * 5) + -2w = 9 (10 + 15w) + -2w = 9 Combine like terms: 15w + -2w = 13w 10 + 13w = 9 Solving 10 + 13w = 9 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-10' to each side of the equation. 10 + -10 + 13w = 9 + -10 Combine like terms: 10 + -10 = 0 0 + 13w = 9 + -10 13w = 9 + -10 Combine like terms: 9 + -10 = -1 13w = -1 Divide each side by '13'. w = -0.07692307692 Simplifying w = -0.07692307692
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