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Simplifying -4w + 14 = -6(w + -4) Reorder the terms: 14 + -4w = -6(w + -4) Reorder the terms: 14 + -4w = -6(-4 + w) 14 + -4w = (-4 * -6 + w * -6) 14 + -4w = (24 + -6w) Solving 14 + -4w = 24 + -6w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '6w' to each side of the equation. 14 + -4w + 6w = 24 + -6w + 6w Combine like terms: -4w + 6w = 2w 14 + 2w = 24 + -6w + 6w Combine like terms: -6w + 6w = 0 14 + 2w = 24 + 0 14 + 2w = 24 Add '-14' to each side of the equation. 14 + -14 + 2w = 24 + -14 Combine like terms: 14 + -14 = 0 0 + 2w = 24 + -14 2w = 24 + -14 Combine like terms: 24 + -14 = 10 2w = 10 Divide each side by '2'. w = 5 Simplifying w = 5
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