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Simplifying -4w + 14 = -7(w + 1) Reorder the terms: 14 + -4w = -7(w + 1) Reorder the terms: 14 + -4w = -7(1 + w) 14 + -4w = (1 * -7 + w * -7) 14 + -4w = (-7 + -7w) Solving 14 + -4w = -7 + -7w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '7w' to each side of the equation. 14 + -4w + 7w = -7 + -7w + 7w Combine like terms: -4w + 7w = 3w 14 + 3w = -7 + -7w + 7w Combine like terms: -7w + 7w = 0 14 + 3w = -7 + 0 14 + 3w = -7 Add '-14' to each side of the equation. 14 + -14 + 3w = -7 + -14 Combine like terms: 14 + -14 = 0 0 + 3w = -7 + -14 3w = -7 + -14 Combine like terms: -7 + -14 = -21 3w = -21 Divide each side by '3'. w = -7 Simplifying w = -7
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