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Simplifying -4w + -4 = 4w + -3 + 4w + 14 Reorder the terms: -4 + -4w = 4w + -3 + 4w + 14 Reorder the terms: -4 + -4w = -3 + 14 + 4w + 4w Combine like terms: -3 + 14 = 11 -4 + -4w = 11 + 4w + 4w Combine like terms: 4w + 4w = 8w -4 + -4w = 11 + 8w Solving -4 + -4w = 11 + 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. -4 + -4w + -8w = 11 + 8w + -8w Combine like terms: -4w + -8w = -12w -4 + -12w = 11 + 8w + -8w Combine like terms: 8w + -8w = 0 -4 + -12w = 11 + 0 -4 + -12w = 11 Add '4' to each side of the equation. -4 + 4 + -12w = 11 + 4 Combine like terms: -4 + 4 = 0 0 + -12w = 11 + 4 -12w = 11 + 4 Combine like terms: 11 + 4 = 15 -12w = 15 Divide each side by '-12'. w = -1.25 Simplifying w = -1.25
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