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Simplifying 7w + 3 = w + -12.6 Reorder the terms: 3 + 7w = w + -12.6 Reorder the terms: 3 + 7w = -12.6 + w Solving 3 + 7w = -12.6 + 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. 3 + 7w + -1w = -12.6 + w + -1w Combine like terms: 7w + -1w = 6w 3 + 6w = -12.6 + w + -1w Combine like terms: w + -1w = 0 3 + 6w = -12.6 + 0 3 + 6w = -12.6 Add '-3' to each side of the equation. 3 + -3 + 6w = -12.6 + -3 Combine like terms: 3 + -3 = 0 0 + 6w = -12.6 + -3 6w = -12.6 + -3 Combine like terms: -12.6 + -3 = -15.6 6w = -15.6 Divide each side by '6'. w = -2.6 Simplifying w = -2.6
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