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Simplifying -7w + 15 = 3w + -5 Reorder the terms: 15 + -7w = 3w + -5 Reorder the terms: 15 + -7w = -5 + 3w Solving 15 + -7w = -5 + 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. 15 + -7w + -3w = -5 + 3w + -3w Combine like terms: -7w + -3w = -10w 15 + -10w = -5 + 3w + -3w Combine like terms: 3w + -3w = 0 15 + -10w = -5 + 0 15 + -10w = -5 Add '-15' to each side of the equation. 15 + -15 + -10w = -5 + -15 Combine like terms: 15 + -15 = 0 0 + -10w = -5 + -15 -10w = -5 + -15 Combine like terms: -5 + -15 = -20 -10w = -20 Divide each side by '-10'. w = 2 Simplifying w = 2
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