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Simplifying 12w + -10w + -4 = -2(w + -6) Reorder the terms: -4 + 12w + -10w = -2(w + -6) Combine like terms: 12w + -10w = 2w -4 + 2w = -2(w + -6) Reorder the terms: -4 + 2w = -2(-6 + w) -4 + 2w = (-6 * -2 + w * -2) -4 + 2w = (12 + -2w) Solving -4 + 2w = 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. -4 + 2w + 2w = 12 + -2w + 2w Combine like terms: 2w + 2w = 4w -4 + 4w = 12 + -2w + 2w Combine like terms: -2w + 2w = 0 -4 + 4w = 12 + 0 -4 + 4w = 12 Add '4' to each side of the equation. -4 + 4 + 4w = 12 + 4 Combine like terms: -4 + 4 = 0 0 + 4w = 12 + 4 4w = 12 + 4 Combine like terms: 12 + 4 = 16 4w = 16 Divide each side by '4'. w = 4 Simplifying w = 4
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