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Simplifying 6(w + -6) = w + 6 + -2w Reorder the terms: 6(-6 + w) = w + 6 + -2w (-6 * 6 + w * 6) = w + 6 + -2w (-36 + 6w) = w + 6 + -2w Reorder the terms: -36 + 6w = 6 + w + -2w Combine like terms: w + -2w = -1w -36 + 6w = 6 + -1w Solving -36 + 6w = 6 + -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. -36 + 6w + w = 6 + -1w + w Combine like terms: 6w + w = 7w -36 + 7w = 6 + -1w + w Combine like terms: -1w + w = 0 -36 + 7w = 6 + 0 -36 + 7w = 6 Add '36' to each side of the equation. -36 + 36 + 7w = 6 + 36 Combine like terms: -36 + 36 = 0 0 + 7w = 6 + 36 7w = 6 + 36 Combine like terms: 6 + 36 = 42 7w = 42 Divide each side by '7'. w = 6 Simplifying w = 6
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