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Simplifying -7w + 14 = -4(w + 4) Reorder the terms: 14 + -7w = -4(w + 4) Reorder the terms: 14 + -7w = -4(4 + w) 14 + -7w = (4 * -4 + w * -4) 14 + -7w = (-16 + -4w) Solving 14 + -7w = -16 + -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 + -7w + 4w = -16 + -4w + 4w Combine like terms: -7w + 4w = -3w 14 + -3w = -16 + -4w + 4w Combine like terms: -4w + 4w = 0 14 + -3w = -16 + 0 14 + -3w = -16 Add '-14' to each side of the equation. 14 + -14 + -3w = -16 + -14 Combine like terms: 14 + -14 = 0 0 + -3w = -16 + -14 -3w = -16 + -14 Combine like terms: -16 + -14 = -30 -3w = -30 Divide each side by '-3'. w = 10 Simplifying w = 10
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