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Simplifying 6(w + 1) + 8 = 2(w + -3) Reorder the terms: 6(1 + w) + 8 = 2(w + -3) (1 * 6 + w * 6) + 8 = 2(w + -3) (6 + 6w) + 8 = 2(w + -3) Reorder the terms: 6 + 8 + 6w = 2(w + -3) Combine like terms: 6 + 8 = 14 14 + 6w = 2(w + -3) Reorder the terms: 14 + 6w = 2(-3 + w) 14 + 6w = (-3 * 2 + w * 2) 14 + 6w = (-6 + 2w) Solving 14 + 6w = -6 + 2w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-2w' to each side of the equation. 14 + 6w + -2w = -6 + 2w + -2w Combine like terms: 6w + -2w = 4w 14 + 4w = -6 + 2w + -2w Combine like terms: 2w + -2w = 0 14 + 4w = -6 + 0 14 + 4w = -6 Add '-14' to each side of the equation. 14 + -14 + 4w = -6 + -14 Combine like terms: 14 + -14 = 0 0 + 4w = -6 + -14 4w = -6 + -14 Combine like terms: -6 + -14 = -20 4w = -20 Divide each side by '4'. w = -5 Simplifying w = -5
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