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Simplifying (12w + 7) + -1(2w + 4) = 0 Reorder the terms: (7 + 12w) + -1(2w + 4) = 0 Remove parenthesis around (7 + 12w) 7 + 12w + -1(2w + 4) = 0 Reorder the terms: 7 + 12w + -1(4 + 2w) = 0 7 + 12w + (4 * -1 + 2w * -1) = 0 7 + 12w + (-4 + -2w) = 0 Reorder the terms: 7 + -4 + 12w + -2w = 0 Combine like terms: 7 + -4 = 3 3 + 12w + -2w = 0 Combine like terms: 12w + -2w = 10w 3 + 10w = 0 Solving 3 + 10w = 0 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + 10w = 0 + -3 Combine like terms: 3 + -3 = 0 0 + 10w = 0 + -3 10w = 0 + -3 Combine like terms: 0 + -3 = -3 10w = -3 Divide each side by '10'. w = -0.3 Simplifying w = -0.3
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