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Simplifying 12 + -4w = 3 + -1(2w + 5) Reorder the terms: 12 + -4w = 3 + -1(5 + 2w) 12 + -4w = 3 + (5 * -1 + 2w * -1) 12 + -4w = 3 + (-5 + -2w) Combine like terms: 3 + -5 = -2 12 + -4w = -2 + -2w Solving 12 + -4w = -2 + -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 = -2 + -2w + 2w Combine like terms: -4w + 2w = -2w 12 + -2w = -2 + -2w + 2w Combine like terms: -2w + 2w = 0 12 + -2w = -2 + 0 12 + -2w = -2 Add '-12' to each side of the equation. 12 + -12 + -2w = -2 + -12 Combine like terms: 12 + -12 = 0 0 + -2w = -2 + -12 -2w = -2 + -12 Combine like terms: -2 + -12 = -14 -2w = -14 Divide each side by '-2'. w = 7 Simplifying w = 7
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