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Simplifying 5(w + 2) = w + 6(w + -3) Reorder the terms: 5(2 + w) = w + 6(w + -3) (2 * 5 + w * 5) = w + 6(w + -3) (10 + 5w) = w + 6(w + -3) Reorder the terms: 10 + 5w = w + 6(-3 + w) 10 + 5w = w + (-3 * 6 + w * 6) 10 + 5w = w + (-18 + 6w) Reorder the terms: 10 + 5w = -18 + w + 6w Combine like terms: w + 6w = 7w 10 + 5w = -18 + 7w Solving 10 + 5w = -18 + 7w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-7w' to each side of the equation. 10 + 5w + -7w = -18 + 7w + -7w Combine like terms: 5w + -7w = -2w 10 + -2w = -18 + 7w + -7w Combine like terms: 7w + -7w = 0 10 + -2w = -18 + 0 10 + -2w = -18 Add '-10' to each side of the equation. 10 + -10 + -2w = -18 + -10 Combine like terms: 10 + -10 = 0 0 + -2w = -18 + -10 -2w = -18 + -10 Combine like terms: -18 + -10 = -28 -2w = -28 Divide each side by '-2'. w = 14 Simplifying w = 14
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