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Simplifying 14 + -7w = -4(3w + 9) Reorder the terms: 14 + -7w = -4(9 + 3w) 14 + -7w = (9 * -4 + 3w * -4) 14 + -7w = (-36 + -12w) Solving 14 + -7w = -36 + -12w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '12w' to each side of the equation. 14 + -7w + 12w = -36 + -12w + 12w Combine like terms: -7w + 12w = 5w 14 + 5w = -36 + -12w + 12w Combine like terms: -12w + 12w = 0 14 + 5w = -36 + 0 14 + 5w = -36 Add '-14' to each side of the equation. 14 + -14 + 5w = -36 + -14 Combine like terms: 14 + -14 = 0 0 + 5w = -36 + -14 5w = -36 + -14 Combine like terms: -36 + -14 = -50 5w = -50 Divide each side by '5'. w = -10 Simplifying w = -10
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