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Simplifying 5(2w + 3) = 3w + -2 Reorder the terms: 5(3 + 2w) = 3w + -2 (3 * 5 + 2w * 5) = 3w + -2 (15 + 10w) = 3w + -2 Reorder the terms: 15 + 10w = -2 + 3w Solving 15 + 10w = -2 + 3w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-3w' to each side of the equation. 15 + 10w + -3w = -2 + 3w + -3w Combine like terms: 10w + -3w = 7w 15 + 7w = -2 + 3w + -3w Combine like terms: 3w + -3w = 0 15 + 7w = -2 + 0 15 + 7w = -2 Add '-15' to each side of the equation. 15 + -15 + 7w = -2 + -15 Combine like terms: 15 + -15 = 0 0 + 7w = -2 + -15 7w = -2 + -15 Combine like terms: -2 + -15 = -17 7w = -17 Divide each side by '7'. w = -2.428571429 Simplifying w = -2.428571429
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