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Simplifying -4(-5w + 6) + -3w = 2(w + -1) + -4 Reorder the terms: -4(6 + -5w) + -3w = 2(w + -1) + -4 (6 * -4 + -5w * -4) + -3w = 2(w + -1) + -4 (-24 + 20w) + -3w = 2(w + -1) + -4 Combine like terms: 20w + -3w = 17w -24 + 17w = 2(w + -1) + -4 Reorder the terms: -24 + 17w = 2(-1 + w) + -4 -24 + 17w = (-1 * 2 + w * 2) + -4 -24 + 17w = (-2 + 2w) + -4 Reorder the terms: -24 + 17w = -2 + -4 + 2w Combine like terms: -2 + -4 = -6 -24 + 17w = -6 + 2w Solving -24 + 17w = -6 + 2w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-2w' to each side of the equation. -24 + 17w + -2w = -6 + 2w + -2w Combine like terms: 17w + -2w = 15w -24 + 15w = -6 + 2w + -2w Combine like terms: 2w + -2w = 0 -24 + 15w = -6 + 0 -24 + 15w = -6 Add '24' to each side of the equation. -24 + 24 + 15w = -6 + 24 Combine like terms: -24 + 24 = 0 0 + 15w = -6 + 24 15w = -6 + 24 Combine like terms: -6 + 24 = 18 15w = 18 Divide each side by '15'. w = 1.2 Simplifying w = 1.2
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