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Simplifying 7w + -15 = 4w + -5 Reorder the terms: -15 + 7w = 4w + -5 Reorder the terms: -15 + 7w = -5 + 4w Solving -15 + 7w = -5 + 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. -15 + 7w + -4w = -5 + 4w + -4w Combine like terms: 7w + -4w = 3w -15 + 3w = -5 + 4w + -4w Combine like terms: 4w + -4w = 0 -15 + 3w = -5 + 0 -15 + 3w = -5 Add '15' to each side of the equation. -15 + 15 + 3w = -5 + 15 Combine like terms: -15 + 15 = 0 0 + 3w = -5 + 15 3w = -5 + 15 Combine like terms: -5 + 15 = 10 3w = 10 Divide each side by '3'. w = 3.333333333 Simplifying w = 3.333333333
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