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Simplifying w + 6 = 5w + -10 Reorder the terms: 6 + w = 5w + -10 Reorder the terms: 6 + w = -10 + 5w Solving 6 + w = -10 + 5w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-5w' to each side of the equation. 6 + w + -5w = -10 + 5w + -5w Combine like terms: w + -5w = -4w 6 + -4w = -10 + 5w + -5w Combine like terms: 5w + -5w = 0 6 + -4w = -10 + 0 6 + -4w = -10 Add '-6' to each side of the equation. 6 + -6 + -4w = -10 + -6 Combine like terms: 6 + -6 = 0 0 + -4w = -10 + -6 -4w = -10 + -6 Combine like terms: -10 + -6 = -16 -4w = -16 Divide each side by '-4'. w = 4 Simplifying w = 4
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