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Simplifying 3 + 3(2w + -4) = -3(5w + -1) + 6w Reorder the terms: 3 + 3(-4 + 2w) = -3(5w + -1) + 6w 3 + (-4 * 3 + 2w * 3) = -3(5w + -1) + 6w 3 + (-12 + 6w) = -3(5w + -1) + 6w Combine like terms: 3 + -12 = -9 -9 + 6w = -3(5w + -1) + 6w Reorder the terms: -9 + 6w = -3(-1 + 5w) + 6w -9 + 6w = (-1 * -3 + 5w * -3) + 6w -9 + 6w = (3 + -15w) + 6w Combine like terms: -15w + 6w = -9w -9 + 6w = 3 + -9w Solving -9 + 6w = 3 + -9w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '9w' to each side of the equation. -9 + 6w + 9w = 3 + -9w + 9w Combine like terms: 6w + 9w = 15w -9 + 15w = 3 + -9w + 9w Combine like terms: -9w + 9w = 0 -9 + 15w = 3 + 0 -9 + 15w = 3 Add '9' to each side of the equation. -9 + 9 + 15w = 3 + 9 Combine like terms: -9 + 9 = 0 0 + 15w = 3 + 9 15w = 3 + 9 Combine like terms: 3 + 9 = 12 15w = 12 Divide each side by '15'. w = 0.8 Simplifying w = 0.8
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