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Simplifying -4w + 14 = 6(w + 9) Reorder the terms: 14 + -4w = 6(w + 9) Reorder the terms: 14 + -4w = 6(9 + w) 14 + -4w = (9 * 6 + w * 6) 14 + -4w = (54 + 6w) Solving 14 + -4w = 54 + 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 = 54 + 6w + -6w Combine like terms: -4w + -6w = -10w 14 + -10w = 54 + 6w + -6w Combine like terms: 6w + -6w = 0 14 + -10w = 54 + 0 14 + -10w = 54 Add '-14' to each side of the equation. 14 + -14 + -10w = 54 + -14 Combine like terms: 14 + -14 = 0 0 + -10w = 54 + -14 -10w = 54 + -14 Combine like terms: 54 + -14 = 40 -10w = 40 Divide each side by '-10'. w = -4 Simplifying w = -4
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