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Simplifying 6(w + -6) = -7w + -10 Reorder the terms: 6(-6 + w) = -7w + -10 (-6 * 6 + w * 6) = -7w + -10 (-36 + 6w) = -7w + -10 Reorder the terms: -36 + 6w = -10 + -7w Solving -36 + 6w = -10 + -7w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '7w' to each side of the equation. -36 + 6w + 7w = -10 + -7w + 7w Combine like terms: 6w + 7w = 13w -36 + 13w = -10 + -7w + 7w Combine like terms: -7w + 7w = 0 -36 + 13w = -10 + 0 -36 + 13w = -10 Add '36' to each side of the equation. -36 + 36 + 13w = -10 + 36 Combine like terms: -36 + 36 = 0 0 + 13w = -10 + 36 13w = -10 + 36 Combine like terms: -10 + 36 = 26 13w = 26 Divide each side by '13'. w = 2 Simplifying w = 2
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