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Simplifying -2(3w + -4) + 3w = 5 + (w + 2) Reorder the terms: -2(-4 + 3w) + 3w = 5 + (w + 2) (-4 * -2 + 3w * -2) + 3w = 5 + (w + 2) (8 + -6w) + 3w = 5 + (w + 2) Combine like terms: -6w + 3w = -3w 8 + -3w = 5 + (w + 2) Reorder the terms: 8 + -3w = 5 + (2 + w) Remove parenthesis around (2 + w) 8 + -3w = 5 + 2 + w Combine like terms: 5 + 2 = 7 8 + -3w = 7 + w Solving 8 + -3w = 7 + w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-1w' to each side of the equation. 8 + -3w + -1w = 7 + w + -1w Combine like terms: -3w + -1w = -4w 8 + -4w = 7 + w + -1w Combine like terms: w + -1w = 0 8 + -4w = 7 + 0 8 + -4w = 7 Add '-8' to each side of the equation. 8 + -8 + -4w = 7 + -8 Combine like terms: 8 + -8 = 0 0 + -4w = 7 + -8 -4w = 7 + -8 Combine like terms: 7 + -8 = -1 -4w = -1 Divide each side by '-4'. w = 0.25 Simplifying w = 0.25
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