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Simplifying 7 + 2(6w + -1) = -2(2w + -5) + w Reorder the terms: 7 + 2(-1 + 6w) = -2(2w + -5) + w 7 + (-1 * 2 + 6w * 2) = -2(2w + -5) + w 7 + (-2 + 12w) = -2(2w + -5) + w Combine like terms: 7 + -2 = 5 5 + 12w = -2(2w + -5) + w Reorder the terms: 5 + 12w = -2(-5 + 2w) + w 5 + 12w = (-5 * -2 + 2w * -2) + w 5 + 12w = (10 + -4w) + w Combine like terms: -4w + w = -3w 5 + 12w = 10 + -3w Solving 5 + 12w = 10 + -3w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '3w' to each side of the equation. 5 + 12w + 3w = 10 + -3w + 3w Combine like terms: 12w + 3w = 15w 5 + 15w = 10 + -3w + 3w Combine like terms: -3w + 3w = 0 5 + 15w = 10 + 0 5 + 15w = 10 Add '-5' to each side of the equation. 5 + -5 + 15w = 10 + -5 Combine like terms: 5 + -5 = 0 0 + 15w = 10 + -5 15w = 10 + -5 Combine like terms: 10 + -5 = 5 15w = 5 Divide each side by '15'. w = 0.3333333333 Simplifying w = 0.3333333333
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