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Simplifying 7w + 15 = w + 3 Reorder the terms: 15 + 7w = w + 3 Reorder the terms: 15 + 7w = 3 + w Solving 15 + 7w = 3 + w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-1w' to each side of the equation. 15 + 7w + -1w = 3 + w + -1w Combine like terms: 7w + -1w = 6w 15 + 6w = 3 + w + -1w Combine like terms: w + -1w = 0 15 + 6w = 3 + 0 15 + 6w = 3 Add '-15' to each side of the equation. 15 + -15 + 6w = 3 + -15 Combine like terms: 15 + -15 = 0 0 + 6w = 3 + -15 6w = 3 + -15 Combine like terms: 3 + -15 = -12 6w = -12 Divide each side by '6'. w = -2 Simplifying w = -2
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