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Simplifying -5w + 3 = 7w + 15 Reorder the terms: 3 + -5w = 7w + 15 Reorder the terms: 3 + -5w = 15 + 7w Solving 3 + -5w = 15 + 7w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-7w' to each side of the equation. 3 + -5w + -7w = 15 + 7w + -7w Combine like terms: -5w + -7w = -12w 3 + -12w = 15 + 7w + -7w Combine like terms: 7w + -7w = 0 3 + -12w = 15 + 0 3 + -12w = 15 Add '-3' to each side of the equation. 3 + -3 + -12w = 15 + -3 Combine like terms: 3 + -3 = 0 0 + -12w = 15 + -3 -12w = 15 + -3 Combine like terms: 15 + -3 = 12 -12w = 12 Divide each side by '-12'. w = -1 Simplifying w = -1
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