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Simplifying 56w + 10 = 69w + -42 Reorder the terms: 10 + 56w = 69w + -42 Reorder the terms: 10 + 56w = -42 + 69w Solving 10 + 56w = -42 + 69w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-69w' to each side of the equation. 10 + 56w + -69w = -42 + 69w + -69w Combine like terms: 56w + -69w = -13w 10 + -13w = -42 + 69w + -69w Combine like terms: 69w + -69w = 0 10 + -13w = -42 + 0 10 + -13w = -42 Add '-10' to each side of the equation. 10 + -10 + -13w = -42 + -10 Combine like terms: 10 + -10 = 0 0 + -13w = -42 + -10 -13w = -42 + -10 Combine like terms: -42 + -10 = -52 -13w = -52 Divide each side by '-13'. w = 4 Simplifying w = 4
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