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Simplifying 6 + 3(3w + -1) = -2(6w + -4) + 6w Reorder the terms: 6 + 3(-1 + 3w) = -2(6w + -4) + 6w 6 + (-1 * 3 + 3w * 3) = -2(6w + -4) + 6w 6 + (-3 + 9w) = -2(6w + -4) + 6w Combine like terms: 6 + -3 = 3 3 + 9w = -2(6w + -4) + 6w Reorder the terms: 3 + 9w = -2(-4 + 6w) + 6w 3 + 9w = (-4 * -2 + 6w * -2) + 6w 3 + 9w = (8 + -12w) + 6w Combine like terms: -12w + 6w = -6w 3 + 9w = 8 + -6w Solving 3 + 9w = 8 + -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. 3 + 9w + 6w = 8 + -6w + 6w Combine like terms: 9w + 6w = 15w 3 + 15w = 8 + -6w + 6w Combine like terms: -6w + 6w = 0 3 + 15w = 8 + 0 3 + 15w = 8 Add '-3' to each side of the equation. 3 + -3 + 15w = 8 + -3 Combine like terms: 3 + -3 = 0 0 + 15w = 8 + -3 15w = 8 + -3 Combine like terms: 8 + -3 = 5 15w = 5 Divide each side by '15'. w = 0.3333333333 Simplifying w = 0.3333333333
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