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Simplifying 13 + 3w = -1(w + 2) + -1w Reorder the terms: 13 + 3w = -1(2 + w) + -1w 13 + 3w = (2 * -1 + w * -1) + -1w 13 + 3w = (-2 + -1w) + -1w Combine like terms: -1w + -1w = -2w 13 + 3w = -2 + -2w Solving 13 + 3w = -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. 13 + 3w + 2w = -2 + -2w + 2w Combine like terms: 3w + 2w = 5w 13 + 5w = -2 + -2w + 2w Combine like terms: -2w + 2w = 0 13 + 5w = -2 + 0 13 + 5w = -2 Add '-13' to each side of the equation. 13 + -13 + 5w = -2 + -13 Combine like terms: 13 + -13 = 0 0 + 5w = -2 + -13 5w = -2 + -13 Combine like terms: -2 + -13 = -15 5w = -15 Divide each side by '5'. w = -3 Simplifying w = -3
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