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Simplifying 10w + -6 = 13w + 5 Reorder the terms: -6 + 10w = 13w + 5 Reorder the terms: -6 + 10w = 5 + 13w Solving -6 + 10w = 5 + 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. -6 + 10w + -13w = 5 + 13w + -13w Combine like terms: 10w + -13w = -3w -6 + -3w = 5 + 13w + -13w Combine like terms: 13w + -13w = 0 -6 + -3w = 5 + 0 -6 + -3w = 5 Add '6' to each side of the equation. -6 + 6 + -3w = 5 + 6 Combine like terms: -6 + 6 = 0 0 + -3w = 5 + 6 -3w = 5 + 6 Combine like terms: 5 + 6 = 11 -3w = 11 Divide each side by '-3'. w = -3.666666667 Simplifying w = -3.666666667
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