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