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Simplifying -6w + 14 = 4(w + -9) Reorder the terms: 14 + -6w = 4(w + -9) Reorder the terms: 14 + -6w = 4(-9 + w) 14 + -6w = (-9 * 4 + w * 4) 14 + -6w = (-36 + 4w) Solving 14 + -6w = -36 + 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 + -6w + -4w = -36 + 4w + -4w Combine like terms: -6w + -4w = -10w 14 + -10w = -36 + 4w + -4w Combine like terms: 4w + -4w = 0 14 + -10w = -36 + 0 14 + -10w = -36 Add '-14' to each side of the equation. 14 + -14 + -10w = -36 + -14 Combine like terms: 14 + -14 = 0 0 + -10w = -36 + -14 -10w = -36 + -14 Combine like terms: -36 + -14 = -50 -10w = -50 Divide each side by '-10'. w = 5 Simplifying w = 5
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