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Simplifying -3w + 19 = -5(w + -3) Reorder the terms: 19 + -3w = -5(w + -3) Reorder the terms: 19 + -3w = -5(-3 + w) 19 + -3w = (-3 * -5 + w * -5) 19 + -3w = (15 + -5w) Solving 19 + -3w = 15 + -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. 19 + -3w + 5w = 15 + -5w + 5w Combine like terms: -3w + 5w = 2w 19 + 2w = 15 + -5w + 5w Combine like terms: -5w + 5w = 0 19 + 2w = 15 + 0 19 + 2w = 15 Add '-19' to each side of the equation. 19 + -19 + 2w = 15 + -19 Combine like terms: 19 + -19 = 0 0 + 2w = 15 + -19 2w = 15 + -19 Combine like terms: 15 + -19 = -4 2w = -4 Divide each side by '2'. w = -2 Simplifying w = -2
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