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Simplifying 8w + 12 = 2(w + -9) Reorder the terms: 12 + 8w = 2(w + -9) Reorder the terms: 12 + 8w = 2(-9 + w) 12 + 8w = (-9 * 2 + w * 2) 12 + 8w = (-18 + 2w) Solving 12 + 8w = -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 + 8w + -2w = -18 + 2w + -2w Combine like terms: 8w + -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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