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Simplifying -3(w + 5) = 5w + -2 + 2(5w + 1) Reorder the terms: -3(5 + w) = 5w + -2 + 2(5w + 1) (5 * -3 + w * -3) = 5w + -2 + 2(5w + 1) (-15 + -3w) = 5w + -2 + 2(5w + 1) Reorder the terms: -15 + -3w = 5w + -2 + 2(1 + 5w) -15 + -3w = 5w + -2 + (1 * 2 + 5w * 2) -15 + -3w = 5w + -2 + (2 + 10w) Reorder the terms: -15 + -3w = -2 + 2 + 5w + 10w Combine like terms: -2 + 2 = 0 -15 + -3w = 0 + 5w + 10w -15 + -3w = 5w + 10w Combine like terms: 5w + 10w = 15w -15 + -3w = 15w Solving -15 + -3w = 15w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-15w' to each side of the equation. -15 + -3w + -15w = 15w + -15w Combine like terms: -3w + -15w = -18w -15 + -18w = 15w + -15w Combine like terms: 15w + -15w = 0 -15 + -18w = 0 Add '15' to each side of the equation. -15 + 15 + -18w = 0 + 15 Combine like terms: -15 + 15 = 0 0 + -18w = 0 + 15 -18w = 0 + 15 Combine like terms: 0 + 15 = 15 -18w = 15 Divide each side by '-18'. w = -0.8333333333 Simplifying w = -0.8333333333
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