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Simplifying -4(w + -3) + -6w = -2(w + 6) Reorder the terms: -4(-3 + w) + -6w = -2(w + 6) (-3 * -4 + w * -4) + -6w = -2(w + 6) (12 + -4w) + -6w = -2(w + 6) Combine like terms: -4w + -6w = -10w 12 + -10w = -2(w + 6) Reorder the terms: 12 + -10w = -2(6 + w) 12 + -10w = (6 * -2 + w * -2) 12 + -10w = (-12 + -2w) Solving 12 + -10w = -12 + -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. 12 + -10w + 2w = -12 + -2w + 2w Combine like terms: -10w + 2w = -8w 12 + -8w = -12 + -2w + 2w Combine like terms: -2w + 2w = 0 12 + -8w = -12 + 0 12 + -8w = -12 Add '-12' to each side of the equation. 12 + -12 + -8w = -12 + -12 Combine like terms: 12 + -12 = 0 0 + -8w = -12 + -12 -8w = -12 + -12 Combine like terms: -12 + -12 = -24 -8w = -24 Divide each side by '-8'. w = 3 Simplifying w = 3
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