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Simplifying (6w + -7) = (5w + -6y + 5) Reorder the terms: (-7 + 6w) = (5w + -6y + 5) Remove parenthesis around (-7 + 6w) -7 + 6w = (5w + -6y + 5) Reorder the terms: -7 + 6w = (5 + 5w + -6y) Remove parenthesis around (5 + 5w + -6y) -7 + 6w = 5 + 5w + -6y Solving -7 + 6w = 5 + 5w + -6y Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-5w' to each side of the equation. -7 + 6w + -5w = 5 + 5w + -5w + -6y Combine like terms: 6w + -5w = 1w -7 + 1w = 5 + 5w + -5w + -6y Combine like terms: 5w + -5w = 0 -7 + 1w = 5 + 0 + -6y -7 + 1w = 5 + -6y Add '7' to each side of the equation. -7 + 7 + 1w = 5 + 7 + -6y Combine like terms: -7 + 7 = 0 0 + 1w = 5 + 7 + -6y 1w = 5 + 7 + -6y Combine like terms: 5 + 7 = 12 1w = 12 + -6y Divide each side by '1'. w = 12 + -6y Simplifying w = 12 + -6y
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