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Simplifying 4w + -5 = 14w + -45 Reorder the terms: -5 + 4w = 14w + -45 Reorder the terms: -5 + 4w = -45 + 14w Solving -5 + 4w = -45 + 14w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-14w' to each side of the equation. -5 + 4w + -14w = -45 + 14w + -14w Combine like terms: 4w + -14w = -10w -5 + -10w = -45 + 14w + -14w Combine like terms: 14w + -14w = 0 -5 + -10w = -45 + 0 -5 + -10w = -45 Add '5' to each side of the equation. -5 + 5 + -10w = -45 + 5 Combine like terms: -5 + 5 = 0 0 + -10w = -45 + 5 -10w = -45 + 5 Combine like terms: -45 + 5 = -40 -10w = -40 Divide each side by '-10'. w = 4 Simplifying w = 4
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