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Simplifying 5w + 7 = 8w + -14 Reorder the terms: 7 + 5w = 8w + -14 Reorder the terms: 7 + 5w = -14 + 8w Solving 7 + 5w = -14 + 8w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-8w' to each side of the equation. 7 + 5w + -8w = -14 + 8w + -8w Combine like terms: 5w + -8w = -3w 7 + -3w = -14 + 8w + -8w Combine like terms: 8w + -8w = 0 7 + -3w = -14 + 0 7 + -3w = -14 Add '-7' to each side of the equation. 7 + -7 + -3w = -14 + -7 Combine like terms: 7 + -7 = 0 0 + -3w = -14 + -7 -3w = -14 + -7 Combine like terms: -14 + -7 = -21 -3w = -21 Divide each side by '-3'. w = 7 Simplifying w = 7
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