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