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Simplifying 6 + 3(3w + -4) = -4(2w + -2) + 7w Reorder the terms: 6 + 3(-4 + 3w) = -4(2w + -2) + 7w 6 + (-4 * 3 + 3w * 3) = -4(2w + -2) + 7w 6 + (-12 + 9w) = -4(2w + -2) + 7w Combine like terms: 6 + -12 = -6 -6 + 9w = -4(2w + -2) + 7w Reorder the terms: -6 + 9w = -4(-2 + 2w) + 7w -6 + 9w = (-2 * -4 + 2w * -4) + 7w -6 + 9w = (8 + -8w) + 7w Combine like terms: -8w + 7w = -1w -6 + 9w = 8 + -1w Solving -6 + 9w = 8 + -1w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add 'w' to each side of the equation. -6 + 9w + w = 8 + -1w + w Combine like terms: 9w + w = 10w -6 + 10w = 8 + -1w + w Combine like terms: -1w + w = 0 -6 + 10w = 8 + 0 -6 + 10w = 8 Add '6' to each side of the equation. -6 + 6 + 10w = 8 + 6 Combine like terms: -6 + 6 = 0 0 + 10w = 8 + 6 10w = 8 + 6 Combine like terms: 8 + 6 = 14 10w = 14 Divide each side by '10'. w = 1.4 Simplifying w = 1.4
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