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