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Simplifying 3w + -2(w + -6) = 4(w + -4) Reorder the terms: 3w + -2(-6 + w) = 4(w + -4) 3w + (-6 * -2 + w * -2) = 4(w + -4) 3w + (12 + -2w) = 4(w + -4) Reorder the terms: 12 + 3w + -2w = 4(w + -4) Combine like terms: 3w + -2w = 1w 12 + 1w = 4(w + -4) Reorder the terms: 12 + 1w = 4(-4 + w) 12 + 1w = (-4 * 4 + w * 4) 12 + 1w = (-16 + 4w) Solving 12 + 1w = -16 + 4w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-4w' to each side of the equation. 12 + 1w + -4w = -16 + 4w + -4w Combine like terms: 1w + -4w = -3w 12 + -3w = -16 + 4w + -4w Combine like terms: 4w + -4w = 0 12 + -3w = -16 + 0 12 + -3w = -16 Add '-12' to each side of the equation. 12 + -12 + -3w = -16 + -12 Combine like terms: 12 + -12 = 0 0 + -3w = -16 + -12 -3w = -16 + -12 Combine like terms: -16 + -12 = -28 -3w = -28 Divide each side by '-3'. w = 9.333333333 Simplifying w = 9.333333333
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