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Simplifying -2(w + 6) = 4w + -9 + 2(3w + 6) Reorder the terms: -2(6 + w) = 4w + -9 + 2(3w + 6) (6 * -2 + w * -2) = 4w + -9 + 2(3w + 6) (-12 + -2w) = 4w + -9 + 2(3w + 6) Reorder the terms: -12 + -2w = 4w + -9 + 2(6 + 3w) -12 + -2w = 4w + -9 + (6 * 2 + 3w * 2) -12 + -2w = 4w + -9 + (12 + 6w) Reorder the terms: -12 + -2w = -9 + 12 + 4w + 6w Combine like terms: -9 + 12 = 3 -12 + -2w = 3 + 4w + 6w Combine like terms: 4w + 6w = 10w -12 + -2w = 3 + 10w Solving -12 + -2w = 3 + 10w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-10w' to each side of the equation. -12 + -2w + -10w = 3 + 10w + -10w Combine like terms: -2w + -10w = -12w -12 + -12w = 3 + 10w + -10w Combine like terms: 10w + -10w = 0 -12 + -12w = 3 + 0 -12 + -12w = 3 Add '12' to each side of the equation. -12 + 12 + -12w = 3 + 12 Combine like terms: -12 + 12 = 0 0 + -12w = 3 + 12 -12w = 3 + 12 Combine like terms: 3 + 12 = 15 -12w = 15 Divide each side by '-12'. w = -1.25 Simplifying w = -1.25
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