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Simplifying 5 + -3w = 6w + -13 Reorder the terms: 5 + -3w = -13 + 6w Solving 5 + -3w = -13 + 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. 5 + -3w + -6w = -13 + 6w + -6w Combine like terms: -3w + -6w = -9w 5 + -9w = -13 + 6w + -6w Combine like terms: 6w + -6w = 0 5 + -9w = -13 + 0 5 + -9w = -13 Add '-5' to each side of the equation. 5 + -5 + -9w = -13 + -5 Combine like terms: 5 + -5 = 0 0 + -9w = -13 + -5 -9w = -13 + -5 Combine like terms: -13 + -5 = -18 -9w = -18 Divide each side by '-9'. w = 2 Simplifying w = 2
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