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Simplifying 7w + 10 + 10 = 10w + -10 Reorder the terms: 10 + 10 + 7w = 10w + -10 Combine like terms: 10 + 10 = 20 20 + 7w = 10w + -10 Reorder the terms: 20 + 7w = -10 + 10w Solving 20 + 7w = -10 + 10w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-10w' to each side of the equation. 20 + 7w + -10w = -10 + 10w + -10w Combine like terms: 7w + -10w = -3w 20 + -3w = -10 + 10w + -10w Combine like terms: 10w + -10w = 0 20 + -3w = -10 + 0 20 + -3w = -10 Add '-20' to each side of the equation. 20 + -20 + -3w = -10 + -20 Combine like terms: 20 + -20 = 0 0 + -3w = -10 + -20 -3w = -10 + -20 Combine like terms: -10 + -20 = -30 -3w = -30 Divide each side by '-3'. w = 10 Simplifying w = 10
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