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Simplifying -10 + 7w = 13w + -13 Reorder the terms: -10 + 7w = -13 + 13w Solving -10 + 7w = -13 + 13w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-13w' to each side of the equation. -10 + 7w + -13w = -13 + 13w + -13w Combine like terms: 7w + -13w = -6w -10 + -6w = -13 + 13w + -13w Combine like terms: 13w + -13w = 0 -10 + -6w = -13 + 0 -10 + -6w = -13 Add '10' to each side of the equation. -10 + 10 + -6w = -13 + 10 Combine like terms: -10 + 10 = 0 0 + -6w = -13 + 10 -6w = -13 + 10 Combine like terms: -13 + 10 = -3 -6w = -3 Divide each side by '-6'. w = 0.5 Simplifying w = 0.5
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