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Simplifying (w + -9) + 6 = 4(w + -2) + -2(w + -6) Reorder the terms: (-9 + w) + 6 = 4(w + -2) + -2(w + -6) Remove parenthesis around (-9 + w) -9 + w + 6 = 4(w + -2) + -2(w + -6) Reorder the terms: -9 + 6 + w = 4(w + -2) + -2(w + -6) Combine like terms: -9 + 6 = -3 -3 + w = 4(w + -2) + -2(w + -6) Reorder the terms: -3 + w = 4(-2 + w) + -2(w + -6) -3 + w = (-2 * 4 + w * 4) + -2(w + -6) -3 + w = (-8 + 4w) + -2(w + -6) Reorder the terms: -3 + w = -8 + 4w + -2(-6 + w) -3 + w = -8 + 4w + (-6 * -2 + w * -2) -3 + w = -8 + 4w + (12 + -2w) Reorder the terms: -3 + w = -8 + 12 + 4w + -2w Combine like terms: -8 + 12 = 4 -3 + w = 4 + 4w + -2w Combine like terms: 4w + -2w = 2w -3 + w = 4 + 2w Solving -3 + w = 4 + 2w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-2w' to each side of the equation. -3 + w + -2w = 4 + 2w + -2w Combine like terms: w + -2w = -1w -3 + -1w = 4 + 2w + -2w Combine like terms: 2w + -2w = 0 -3 + -1w = 4 + 0 -3 + -1w = 4 Add '3' to each side of the equation. -3 + 3 + -1w = 4 + 3 Combine like terms: -3 + 3 = 0 0 + -1w = 4 + 3 -1w = 4 + 3 Combine like terms: 4 + 3 = 7 -1w = 7 Divide each side by '-1'. w = -7 Simplifying w = -7
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