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Simplifying 5w + -6 = 8w + 6 Reorder the terms: -6 + 5w = 8w + 6 Reorder the terms: -6 + 5w = 6 + 8w Solving -6 + 5w = 6 + 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. -6 + 5w + -8w = 6 + 8w + -8w Combine like terms: 5w + -8w = -3w -6 + -3w = 6 + 8w + -8w Combine like terms: 8w + -8w = 0 -6 + -3w = 6 + 0 -6 + -3w = 6 Add '6' to each side of the equation. -6 + 6 + -3w = 6 + 6 Combine like terms: -6 + 6 = 0 0 + -3w = 6 + 6 -3w = 6 + 6 Combine like terms: 6 + 6 = 12 -3w = 12 Divide each side by '-3'. w = -4 Simplifying w = -4
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