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Simplifying -2(w + 10) = 6w + 12 Reorder the terms: -2(10 + w) = 6w + 12 (10 * -2 + w * -2) = 6w + 12 (-20 + -2w) = 6w + 12 Reorder the terms: -20 + -2w = 12 + 6w Solving -20 + -2w = 12 + 6w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-6w' to each side of the equation. -20 + -2w + -6w = 12 + 6w + -6w Combine like terms: -2w + -6w = -8w -20 + -8w = 12 + 6w + -6w Combine like terms: 6w + -6w = 0 -20 + -8w = 12 + 0 -20 + -8w = 12 Add '20' to each side of the equation. -20 + 20 + -8w = 12 + 20 Combine like terms: -20 + 20 = 0 0 + -8w = 12 + 20 -8w = 12 + 20 Combine like terms: 12 + 20 = 32 -8w = 32 Divide each side by '-8'. w = -4 Simplifying w = -4
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