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Simplifying (7w + -13) + (-6w + -7) = 0 Reorder the terms: (-13 + 7w) + (-6w + -7) = 0 Remove parenthesis around (-13 + 7w) -13 + 7w + (-6w + -7) = 0 Reorder the terms: -13 + 7w + (-7 + -6w) = 0 Remove parenthesis around (-7 + -6w) -13 + 7w + -7 + -6w = 0 Reorder the terms: -13 + -7 + 7w + -6w = 0 Combine like terms: -13 + -7 = -20 -20 + 7w + -6w = 0 Combine like terms: 7w + -6w = 1w -20 + 1w = 0 Solving -20 + 1w = 0 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '20' to each side of the equation. -20 + 20 + 1w = 0 + 20 Combine like terms: -20 + 20 = 0 0 + 1w = 0 + 20 1w = 0 + 20 Combine like terms: 0 + 20 = 20 1w = 20 Divide each side by '1'. w = 20 Simplifying w = 20
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