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Simplifying -4w + 10 = -78 + 4w Reorder the terms: 10 + -4w = -78 + 4w Solving 10 + -4w = -78 + 4w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-4w' to each side of the equation. 10 + -4w + -4w = -78 + 4w + -4w Combine like terms: -4w + -4w = -8w 10 + -8w = -78 + 4w + -4w Combine like terms: 4w + -4w = 0 10 + -8w = -78 + 0 10 + -8w = -78 Add '-10' to each side of the equation. 10 + -10 + -8w = -78 + -10 Combine like terms: 10 + -10 = 0 0 + -8w = -78 + -10 -8w = -78 + -10 Combine like terms: -78 + -10 = -88 -8w = -88 Divide each side by '-8'. w = 11 Simplifying w = 11
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