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Simplifying -5(w + 7) = 3w + -19 Reorder the terms: -5(7 + w) = 3w + -19 (7 * -5 + w * -5) = 3w + -19 (-35 + -5w) = 3w + -19 Reorder the terms: -35 + -5w = -19 + 3w Solving -35 + -5w = -19 + 3w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-3w' to each side of the equation. -35 + -5w + -3w = -19 + 3w + -3w Combine like terms: -5w + -3w = -8w -35 + -8w = -19 + 3w + -3w Combine like terms: 3w + -3w = 0 -35 + -8w = -19 + 0 -35 + -8w = -19 Add '35' to each side of the equation. -35 + 35 + -8w = -19 + 35 Combine like terms: -35 + 35 = 0 0 + -8w = -19 + 35 -8w = -19 + 35 Combine like terms: -19 + 35 = 16 -8w = 16 Divide each side by '-8'. w = -2 Simplifying w = -2
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