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Simplifying 4(w + -1) = 9w + -19 Reorder the terms: 4(-1 + w) = 9w + -19 (-1 * 4 + w * 4) = 9w + -19 (-4 + 4w) = 9w + -19 Reorder the terms: -4 + 4w = -19 + 9w Solving -4 + 4w = -19 + 9w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-9w' to each side of the equation. -4 + 4w + -9w = -19 + 9w + -9w Combine like terms: 4w + -9w = -5w -4 + -5w = -19 + 9w + -9w Combine like terms: 9w + -9w = 0 -4 + -5w = -19 + 0 -4 + -5w = -19 Add '4' to each side of the equation. -4 + 4 + -5w = -19 + 4 Combine like terms: -4 + 4 = 0 0 + -5w = -19 + 4 -5w = -19 + 4 Combine like terms: -19 + 4 = -15 -5w = -15 Divide each side by '-5'. w = 3 Simplifying w = 3
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