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Simplifying -5(-3w + 8) + -2w = 3(w + -8) + -4 Reorder the terms: -5(8 + -3w) + -2w = 3(w + -8) + -4 (8 * -5 + -3w * -5) + -2w = 3(w + -8) + -4 (-40 + 15w) + -2w = 3(w + -8) + -4 Combine like terms: 15w + -2w = 13w -40 + 13w = 3(w + -8) + -4 Reorder the terms: -40 + 13w = 3(-8 + w) + -4 -40 + 13w = (-8 * 3 + w * 3) + -4 -40 + 13w = (-24 + 3w) + -4 Reorder the terms: -40 + 13w = -24 + -4 + 3w Combine like terms: -24 + -4 = -28 -40 + 13w = -28 + 3w Solving -40 + 13w = -28 + 3w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-3w' to each side of the equation. -40 + 13w + -3w = -28 + 3w + -3w Combine like terms: 13w + -3w = 10w -40 + 10w = -28 + 3w + -3w Combine like terms: 3w + -3w = 0 -40 + 10w = -28 + 0 -40 + 10w = -28 Add '40' to each side of the equation. -40 + 40 + 10w = -28 + 40 Combine like terms: -40 + 40 = 0 0 + 10w = -28 + 40 10w = -28 + 40 Combine like terms: -28 + 40 = 12 10w = 12 Divide each side by '10'. w = 1.2 Simplifying w = 1.2
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