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Simplifying 5w + -19 = -2(w + -1) Reorder the terms: -19 + 5w = -2(w + -1) Reorder the terms: -19 + 5w = -2(-1 + w) -19 + 5w = (-1 * -2 + w * -2) -19 + 5w = (2 + -2w) Solving -19 + 5w = 2 + -2w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '2w' to each side of the equation. -19 + 5w + 2w = 2 + -2w + 2w Combine like terms: 5w + 2w = 7w -19 + 7w = 2 + -2w + 2w Combine like terms: -2w + 2w = 0 -19 + 7w = 2 + 0 -19 + 7w = 2 Add '19' to each side of the equation. -19 + 19 + 7w = 2 + 19 Combine like terms: -19 + 19 = 0 0 + 7w = 2 + 19 7w = 2 + 19 Combine like terms: 2 + 19 = 21 7w = 21 Divide each side by '7'. w = 3 Simplifying w = 3
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