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Simplifying 13 + 4w + -5w = 2(-3w + 6) + -14 Combine like terms: 4w + -5w = -1w 13 + -1w = 2(-3w + 6) + -14 Reorder the terms: 13 + -1w = 2(6 + -3w) + -14 13 + -1w = (6 * 2 + -3w * 2) + -14 13 + -1w = (12 + -6w) + -14 Reorder the terms: 13 + -1w = 12 + -14 + -6w Combine like terms: 12 + -14 = -2 13 + -1w = -2 + -6w Solving 13 + -1w = -2 + -6w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '6w' to each side of the equation. 13 + -1w + 6w = -2 + -6w + 6w Combine like terms: -1w + 6w = 5w 13 + 5w = -2 + -6w + 6w Combine like terms: -6w + 6w = 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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