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Simplifying -7(2w + -2) + 6w = 4(w + 3) Reorder the terms: -7(-2 + 2w) + 6w = 4(w + 3) (-2 * -7 + 2w * -7) + 6w = 4(w + 3) (14 + -14w) + 6w = 4(w + 3) Combine like terms: -14w + 6w = -8w 14 + -8w = 4(w + 3) Reorder the terms: 14 + -8w = 4(3 + w) 14 + -8w = (3 * 4 + w * 4) 14 + -8w = (12 + 4w) Solving 14 + -8w = 12 + 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. 14 + -8w + -4w = 12 + 4w + -4w Combine like terms: -8w + -4w = -12w 14 + -12w = 12 + 4w + -4w Combine like terms: 4w + -4w = 0 14 + -12w = 12 + 0 14 + -12w = 12 Add '-14' to each side of the equation. 14 + -14 + -12w = 12 + -14 Combine like terms: 14 + -14 = 0 0 + -12w = 12 + -14 -12w = 12 + -14 Combine like terms: 12 + -14 = -2 -12w = -2 Divide each side by '-12'. w = 0.1666666667 Simplifying w = 0.1666666667
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