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Simplifying 3w + 4 + -1W = 2(w + -2) Reorder the terms: 4 + -1W + 3w = 2(w + -2) Reorder the terms: 4 + -1W + 3w = 2(-2 + w) 4 + -1W + 3w = (-2 * 2 + w * 2) 4 + -1W + 3w = (-4 + 2w) Solving 4 + -1W + 3w = -4 + 2w Solving for variable 'W'. Move all terms containing W to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -1W + -4 + 3w = -4 + -4 + 2w Reorder the terms: 4 + -4 + -1W + 3w = -4 + -4 + 2w Combine like terms: 4 + -4 = 0 0 + -1W + 3w = -4 + -4 + 2w -1W + 3w = -4 + -4 + 2w Combine like terms: -4 + -4 = -8 -1W + 3w = -8 + 2w Add '-3w' to each side of the equation. -1W + 3w + -3w = -8 + 2w + -3w Combine like terms: 3w + -3w = 0 -1W + 0 = -8 + 2w + -3w -1W = -8 + 2w + -3w Combine like terms: 2w + -3w = -1w -1W = -8 + -1w Divide each side by '-1'. W = 8 + w Simplifying W = 8 + w
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