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Simplifying 3(w + -6) = 2(5w + 5) Reorder the terms: 3(-6 + w) = 2(5w + 5) (-6 * 3 + w * 3) = 2(5w + 5) (-18 + 3w) = 2(5w + 5) Reorder the terms: -18 + 3w = 2(5 + 5w) -18 + 3w = (5 * 2 + 5w * 2) -18 + 3w = (10 + 10w) Solving -18 + 3w = 10 + 10w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-10w' to each side of the equation. -18 + 3w + -10w = 10 + 10w + -10w Combine like terms: 3w + -10w = -7w -18 + -7w = 10 + 10w + -10w Combine like terms: 10w + -10w = 0 -18 + -7w = 10 + 0 -18 + -7w = 10 Add '18' to each side of the equation. -18 + 18 + -7w = 10 + 18 Combine like terms: -18 + 18 = 0 0 + -7w = 10 + 18 -7w = 10 + 18 Combine like terms: 10 + 18 = 28 -7w = 28 Divide each side by '-7'. w = -4 Simplifying w = -4
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