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Simplifying 5(w + -2) = 8w + -19 Reorder the terms: 5(-2 + w) = 8w + -19 (-2 * 5 + w * 5) = 8w + -19 (-10 + 5w) = 8w + -19 Reorder the terms: -10 + 5w = -19 + 8w Solving -10 + 5w = -19 + 8w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-8w' to each side of the equation. -10 + 5w + -8w = -19 + 8w + -8w Combine like terms: 5w + -8w = -3w -10 + -3w = -19 + 8w + -8w Combine like terms: 8w + -8w = 0 -10 + -3w = -19 + 0 -10 + -3w = -19 Add '10' to each side of the equation. -10 + 10 + -3w = -19 + 10 Combine like terms: -10 + 10 = 0 0 + -3w = -19 + 10 -3w = -19 + 10 Combine like terms: -19 + 10 = -9 -3w = -9 Divide each side by '-3'. w = 3 Simplifying w = 3
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