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Simplifying -7(w + -1) = 6w + -19 Reorder the terms: -7(-1 + w) = 6w + -19 (-1 * -7 + w * -7) = 6w + -19 (7 + -7w) = 6w + -19 Reorder the terms: 7 + -7w = -19 + 6w Solving 7 + -7w = -19 + 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. 7 + -7w + -6w = -19 + 6w + -6w Combine like terms: -7w + -6w = -13w 7 + -13w = -19 + 6w + -6w Combine like terms: 6w + -6w = 0 7 + -13w = -19 + 0 7 + -13w = -19 Add '-7' to each side of the equation. 7 + -7 + -13w = -19 + -7 Combine like terms: 7 + -7 = 0 0 + -13w = -19 + -7 -13w = -19 + -7 Combine like terms: -19 + -7 = -26 -13w = -26 Divide each side by '-13'. w = 2 Simplifying w = 2
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