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Simplifying 3(w + -8) + -6 = -6(-3w + 8) + -5w Reorder the terms: 3(-8 + w) + -6 = -6(-3w + 8) + -5w (-8 * 3 + w * 3) + -6 = -6(-3w + 8) + -5w (-24 + 3w) + -6 = -6(-3w + 8) + -5w Reorder the terms: -24 + -6 + 3w = -6(-3w + 8) + -5w Combine like terms: -24 + -6 = -30 -30 + 3w = -6(-3w + 8) + -5w Reorder the terms: -30 + 3w = -6(8 + -3w) + -5w -30 + 3w = (8 * -6 + -3w * -6) + -5w -30 + 3w = (-48 + 18w) + -5w Combine like terms: 18w + -5w = 13w -30 + 3w = -48 + 13w Solving -30 + 3w = -48 + 13w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-13w' to each side of the equation. -30 + 3w + -13w = -48 + 13w + -13w Combine like terms: 3w + -13w = -10w -30 + -10w = -48 + 13w + -13w Combine like terms: 13w + -13w = 0 -30 + -10w = -48 + 0 -30 + -10w = -48 Add '30' to each side of the equation. -30 + 30 + -10w = -48 + 30 Combine like terms: -30 + 30 = 0 0 + -10w = -48 + 30 -10w = -48 + 30 Combine like terms: -48 + 30 = -18 -10w = -18 Divide each side by '-10'. w = 1.8 Simplifying w = 1.8
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