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Simplifying 7w + 3(2w + -5) + 6 = 0 Reorder the terms: 7w + 3(-5 + 2w) + 6 = 0 7w + (-5 * 3 + 2w * 3) + 6 = 0 7w + (-15 + 6w) + 6 = 0 Reorder the terms: -15 + 6 + 7w + 6w = 0 Combine like terms: -15 + 6 = -9 -9 + 7w + 6w = 0 Combine like terms: 7w + 6w = 13w -9 + 13w = 0 Solving -9 + 13w = 0 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '9' to each side of the equation. -9 + 9 + 13w = 0 + 9 Combine like terms: -9 + 9 = 0 0 + 13w = 0 + 9 13w = 0 + 9 Combine like terms: 0 + 9 = 9 13w = 9 Divide each side by '13'. w = 0.6923076923 Simplifying w = 0.6923076923
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