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Simplifying -4w + -14 = 3(w + 7) Reorder the terms: -14 + -4w = 3(w + 7) Reorder the terms: -14 + -4w = 3(7 + w) -14 + -4w = (7 * 3 + w * 3) -14 + -4w = (21 + 3w) Solving -14 + -4w = 21 + 3w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-3w' to each side of the equation. -14 + -4w + -3w = 21 + 3w + -3w Combine like terms: -4w + -3w = -7w -14 + -7w = 21 + 3w + -3w Combine like terms: 3w + -3w = 0 -14 + -7w = 21 + 0 -14 + -7w = 21 Add '14' to each side of the equation. -14 + 14 + -7w = 21 + 14 Combine like terms: -14 + 14 = 0 0 + -7w = 21 + 14 -7w = 21 + 14 Combine like terms: 21 + 14 = 35 -7w = 35 Divide each side by '-7'. w = -5 Simplifying w = -5
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