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Simplifying 7w + 5 = 3w + -15 Reorder the terms: 5 + 7w = 3w + -15 Reorder the terms: 5 + 7w = -15 + 3w Solving 5 + 7w = -15 + 3w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-3w' to each side of the equation. 5 + 7w + -3w = -15 + 3w + -3w Combine like terms: 7w + -3w = 4w 5 + 4w = -15 + 3w + -3w Combine like terms: 3w + -3w = 0 5 + 4w = -15 + 0 5 + 4w = -15 Add '-5' to each side of the equation. 5 + -5 + 4w = -15 + -5 Combine like terms: 5 + -5 = 0 0 + 4w = -15 + -5 4w = -15 + -5 Combine like terms: -15 + -5 = -20 4w = -20 Divide each side by '4'. w = -5 Simplifying w = -5
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