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Simplifying 2w + 12 = -4(w + -9) Reorder the terms: 12 + 2w = -4(w + -9) Reorder the terms: 12 + 2w = -4(-9 + w) 12 + 2w = (-9 * -4 + w * -4) 12 + 2w = (36 + -4w) Solving 12 + 2w = 36 + -4w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '4w' to each side of the equation. 12 + 2w + 4w = 36 + -4w + 4w Combine like terms: 2w + 4w = 6w 12 + 6w = 36 + -4w + 4w Combine like terms: -4w + 4w = 0 12 + 6w = 36 + 0 12 + 6w = 36 Add '-12' to each side of the equation. 12 + -12 + 6w = 36 + -12 Combine like terms: 12 + -12 = 0 0 + 6w = 36 + -12 6w = 36 + -12 Combine like terms: 36 + -12 = 24 6w = 24 Divide each side by '6'. w = 4 Simplifying w = 4
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