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Simplifying -81 = 6w + 7w + -16 Reorder the terms: -81 = -16 + 6w + 7w Combine like terms: 6w + 7w = 13w -81 = -16 + 13w Solving -81 = -16 + 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. -81 + -13w = -16 + 13w + -13w Combine like terms: 13w + -13w = 0 -81 + -13w = -16 + 0 -81 + -13w = -16 Add '81' to each side of the equation. -81 + 81 + -13w = -16 + 81 Combine like terms: -81 + 81 = 0 0 + -13w = -16 + 81 -13w = -16 + 81 Combine like terms: -16 + 81 = 65 -13w = 65 Divide each side by '-13'. w = -5 Simplifying w = -5
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