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Simplifying 4w + 14 = -2(w + -4) Reorder the terms: 14 + 4w = -2(w + -4) Reorder the terms: 14 + 4w = -2(-4 + w) 14 + 4w = (-4 * -2 + w * -2) 14 + 4w = (8 + -2w) Solving 14 + 4w = 8 + -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 + 4w + 2w = 8 + -2w + 2w Combine like terms: 4w + 2w = 6w 14 + 6w = 8 + -2w + 2w Combine like terms: -2w + 2w = 0 14 + 6w = 8 + 0 14 + 6w = 8 Add '-14' to each side of the equation. 14 + -14 + 6w = 8 + -14 Combine like terms: 14 + -14 = 0 0 + 6w = 8 + -14 6w = 8 + -14 Combine like terms: 8 + -14 = -6 6w = -6 Divide each side by '6'. w = -1 Simplifying w = -1
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