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Simplifying (7w + -56) = (6w + -49) Reorder the terms: (-56 + 7w) = (6w + -49) Remove parenthesis around (-56 + 7w) -56 + 7w = (6w + -49) Reorder the terms: -56 + 7w = (-49 + 6w) Remove parenthesis around (-49 + 6w) -56 + 7w = -49 + 6w Solving -56 + 7w = -49 + 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. -56 + 7w + -6w = -49 + 6w + -6w Combine like terms: 7w + -6w = 1w -56 + 1w = -49 + 6w + -6w Combine like terms: 6w + -6w = 0 -56 + 1w = -49 + 0 -56 + 1w = -49 Add '56' to each side of the equation. -56 + 56 + 1w = -49 + 56 Combine like terms: -56 + 56 = 0 0 + 1w = -49 + 56 1w = -49 + 56 Combine like terms: -49 + 56 = 7 1w = 7 Divide each side by '1'. w = 7 Simplifying w = 7
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