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Simplifying -42 = -7 + 5w Solving -42 = -7 + 5w 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. -42 + -5w = -7 + 5w + -5w Combine like terms: 5w + -5w = 0 -42 + -5w = -7 + 0 -42 + -5w = -7 Add '42' to each side of the equation. -42 + 42 + -5w = -7 + 42 Combine like terms: -42 + 42 = 0 0 + -5w = -7 + 42 -5w = -7 + 42 Combine like terms: -7 + 42 = 35 -5w = 35 Divide each side by '-5'. w = -7 Simplifying w = -7
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