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Simplifying 3(w + -1) + -1 = -3(-6w + 2) + -5w Reorder the terms: 3(-1 + w) + -1 = -3(-6w + 2) + -5w (-1 * 3 + w * 3) + -1 = -3(-6w + 2) + -5w (-3 + 3w) + -1 = -3(-6w + 2) + -5w Reorder the terms: -3 + -1 + 3w = -3(-6w + 2) + -5w Combine like terms: -3 + -1 = -4 -4 + 3w = -3(-6w + 2) + -5w Reorder the terms: -4 + 3w = -3(2 + -6w) + -5w -4 + 3w = (2 * -3 + -6w * -3) + -5w -4 + 3w = (-6 + 18w) + -5w Combine like terms: 18w + -5w = 13w -4 + 3w = -6 + 13w Solving -4 + 3w = -6 + 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. -4 + 3w + -13w = -6 + 13w + -13w Combine like terms: 3w + -13w = -10w -4 + -10w = -6 + 13w + -13w Combine like terms: 13w + -13w = 0 -4 + -10w = -6 + 0 -4 + -10w = -6 Add '4' to each side of the equation. -4 + 4 + -10w = -6 + 4 Combine like terms: -4 + 4 = 0 0 + -10w = -6 + 4 -10w = -6 + 4 Combine like terms: -6 + 4 = -2 -10w = -2 Divide each side by '-10'. w = 0.2 Simplifying w = 0.2
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