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Simplifying -2(4w + -6) + 6w = 4(w + 1) Reorder the terms: -2(-6 + 4w) + 6w = 4(w + 1) (-6 * -2 + 4w * -2) + 6w = 4(w + 1) (12 + -8w) + 6w = 4(w + 1) Combine like terms: -8w + 6w = -2w 12 + -2w = 4(w + 1) Reorder the terms: 12 + -2w = 4(1 + w) 12 + -2w = (1 * 4 + w * 4) 12 + -2w = (4 + 4w) Solving 12 + -2w = 4 + 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 + -2w + -4w = 4 + 4w + -4w Combine like terms: -2w + -4w = -6w 12 + -6w = 4 + 4w + -4w Combine like terms: 4w + -4w = 0 12 + -6w = 4 + 0 12 + -6w = 4 Add '-12' to each side of the equation. 12 + -12 + -6w = 4 + -12 Combine like terms: 12 + -12 = 0 0 + -6w = 4 + -12 -6w = 4 + -12 Combine like terms: 4 + -12 = -8 -6w = -8 Divide each side by '-6'. w = 1.333333333 Simplifying w = 1.333333333
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