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Simplifying -10 + 5w + 6 = -3w + -52 + -4w Reorder the terms: -10 + 6 + 5w = -3w + -52 + -4w Combine like terms: -10 + 6 = -4 -4 + 5w = -3w + -52 + -4w Reorder the terms: -4 + 5w = -52 + -3w + -4w Combine like terms: -3w + -4w = -7w -4 + 5w = -52 + -7w Solving -4 + 5w = -52 + -7w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '7w' to each side of the equation. -4 + 5w + 7w = -52 + -7w + 7w Combine like terms: 5w + 7w = 12w -4 + 12w = -52 + -7w + 7w Combine like terms: -7w + 7w = 0 -4 + 12w = -52 + 0 -4 + 12w = -52 Add '4' to each side of the equation. -4 + 4 + 12w = -52 + 4 Combine like terms: -4 + 4 = 0 0 + 12w = -52 + 4 12w = -52 + 4 Combine like terms: -52 + 4 = -48 12w = -48 Divide each side by '12'. w = -4 Simplifying w = -4
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