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Simplifying -7(w + -7) = 6w + 10 Reorder the terms: -7(-7 + w) = 6w + 10 (-7 * -7 + w * -7) = 6w + 10 (49 + -7w) = 6w + 10 Reorder the terms: 49 + -7w = 10 + 6w Solving 49 + -7w = 10 + 6w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-6w' to each side of the equation. 49 + -7w + -6w = 10 + 6w + -6w Combine like terms: -7w + -6w = -13w 49 + -13w = 10 + 6w + -6w Combine like terms: 6w + -6w = 0 49 + -13w = 10 + 0 49 + -13w = 10 Add '-49' to each side of the equation. 49 + -49 + -13w = 10 + -49 Combine like terms: 49 + -49 = 0 0 + -13w = 10 + -49 -13w = 10 + -49 Combine like terms: 10 + -49 = -39 -13w = -39 Divide each side by '-13'. w = 3 Simplifying w = 3
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