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Simplifying -4w + -12 = 2(w + 9) Reorder the terms: -12 + -4w = 2(w + 9) Reorder the terms: -12 + -4w = 2(9 + w) -12 + -4w = (9 * 2 + w * 2) -12 + -4w = (18 + 2w) Solving -12 + -4w = 18 + 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 + -4w + -2w = 18 + 2w + -2w Combine like terms: -4w + -2w = -6w -12 + -6w = 18 + 2w + -2w Combine like terms: 2w + -2w = 0 -12 + -6w = 18 + 0 -12 + -6w = 18 Add '12' to each side of the equation. -12 + 12 + -6w = 18 + 12 Combine like terms: -12 + 12 = 0 0 + -6w = 18 + 12 -6w = 18 + 12 Combine like terms: 18 + 12 = 30 -6w = 30 Divide each side by '-6'. w = -5 Simplifying w = -5
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