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Simplifying 6(w + -2) + 4w = -9(w + -5) Reorder the terms: 6(-2 + w) + 4w = -9(w + -5) (-2 * 6 + w * 6) + 4w = -9(w + -5) (-12 + 6w) + 4w = -9(w + -5) Combine like terms: 6w + 4w = 10w -12 + 10w = -9(w + -5) Reorder the terms: -12 + 10w = -9(-5 + w) -12 + 10w = (-5 * -9 + w * -9) -12 + 10w = (45 + -9w) Solving -12 + 10w = 45 + -9w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '9w' to each side of the equation. -12 + 10w + 9w = 45 + -9w + 9w Combine like terms: 10w + 9w = 19w -12 + 19w = 45 + -9w + 9w Combine like terms: -9w + 9w = 0 -12 + 19w = 45 + 0 -12 + 19w = 45 Add '12' to each side of the equation. -12 + 12 + 19w = 45 + 12 Combine like terms: -12 + 12 = 0 0 + 19w = 45 + 12 19w = 45 + 12 Combine like terms: 45 + 12 = 57 19w = 57 Divide each side by '19'. w = 3 Simplifying w = 3
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