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Simplifying 21 + -6 = w + -7 Combine like terms: 21 + -6 = 15 15 = w + -7 Reorder the terms: 15 = -7 + w Solving 15 = -7 + 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 + -1w = -7 + w + -1w Combine like terms: w + -1w = 0 15 + -1w = -7 + 0 15 + -1w = -7 Add '-15' to each side of the equation. 15 + -15 + -1w = -7 + -15 Combine like terms: 15 + -15 = 0 0 + -1w = -7 + -15 -1w = -7 + -15 Combine like terms: -7 + -15 = -22 -1w = -22 Divide each side by '-1'. w = 22 Simplifying w = 22
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