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Simplifying 7 = w + -6 Reorder the terms: 7 = -6 + w Solving 7 = -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. 7 + -1w = -6 + w + -1w Combine like terms: w + -1w = 0 7 + -1w = -6 + 0 7 + -1w = -6 Add '-7' to each side of the equation. 7 + -7 + -1w = -6 + -7 Combine like terms: 7 + -7 = 0 0 + -1w = -6 + -7 -1w = -6 + -7 Combine like terms: -6 + -7 = -13 -1w = -13 Divide each side by '-1'. w = 13 Simplifying w = 13
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