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Simplifying -3(w + 2) = -6(3w + -2) + 5w Reorder the terms: -3(2 + w) = -6(3w + -2) + 5w (2 * -3 + w * -3) = -6(3w + -2) + 5w (-6 + -3w) = -6(3w + -2) + 5w Reorder the terms: -6 + -3w = -6(-2 + 3w) + 5w -6 + -3w = (-2 * -6 + 3w * -6) + 5w -6 + -3w = (12 + -18w) + 5w Combine like terms: -18w + 5w = -13w -6 + -3w = 12 + -13w Solving -6 + -3w = 12 + -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. -6 + -3w + 13w = 12 + -13w + 13w Combine like terms: -3w + 13w = 10w -6 + 10w = 12 + -13w + 13w Combine like terms: -13w + 13w = 0 -6 + 10w = 12 + 0 -6 + 10w = 12 Add '6' to each side of the equation. -6 + 6 + 10w = 12 + 6 Combine like terms: -6 + 6 = 0 0 + 10w = 12 + 6 10w = 12 + 6 Combine like terms: 12 + 6 = 18 10w = 18 Divide each side by '10'. w = 1.8 Simplifying w = 1.8
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