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Simplifying -3(w + 4) = 5w + -3 + 2(5w + 3) Reorder the terms: -3(4 + w) = 5w + -3 + 2(5w + 3) (4 * -3 + w * -3) = 5w + -3 + 2(5w + 3) (-12 + -3w) = 5w + -3 + 2(5w + 3) Reorder the terms: -12 + -3w = 5w + -3 + 2(3 + 5w) -12 + -3w = 5w + -3 + (3 * 2 + 5w * 2) -12 + -3w = 5w + -3 + (6 + 10w) Reorder the terms: -12 + -3w = -3 + 6 + 5w + 10w Combine like terms: -3 + 6 = 3 -12 + -3w = 3 + 5w + 10w Combine like terms: 5w + 10w = 15w -12 + -3w = 3 + 15w Solving -12 + -3w = 3 + 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. -12 + -3w + -15w = 3 + 15w + -15w Combine like terms: -3w + -15w = -18w -12 + -18w = 3 + 15w + -15w Combine like terms: 15w + -15w = 0 -12 + -18w = 3 + 0 -12 + -18w = 3 Add '12' to each side of the equation. -12 + 12 + -18w = 3 + 12 Combine like terms: -12 + 12 = 0 0 + -18w = 3 + 12 -18w = 3 + 12 Combine like terms: 3 + 12 = 15 -18w = 15 Divide each side by '-18'. w = -0.8333333333 Simplifying w = -0.8333333333
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