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Simplifying -1 = 7w + 6(w + 2) Reorder the terms: -1 = 7w + 6(2 + w) -1 = 7w + (2 * 6 + w * 6) -1 = 7w + (12 + 6w) Reorder the terms: -1 = 12 + 7w + 6w Combine like terms: 7w + 6w = 13w -1 = 12 + 13w Solving -1 = 12 + 13w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-13w' to each side of the equation. -1 + -13w = 12 + 13w + -13w Combine like terms: 13w + -13w = 0 -1 + -13w = 12 + 0 -1 + -13w = 12 Add '1' to each side of the equation. -1 + 1 + -13w = 12 + 1 Combine like terms: -1 + 1 = 0 0 + -13w = 12 + 1 -13w = 12 + 1 Combine like terms: 12 + 1 = 13 -13w = 13 Divide each side by '-13'. w = -1 Simplifying w = -1
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