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Simplifying 29 + 7w = 10w + -1 Reorder the terms: 29 + 7w = -1 + 10w Solving 29 + 7w = -1 + 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. 29 + 7w + -10w = -1 + 10w + -10w Combine like terms: 7w + -10w = -3w 29 + -3w = -1 + 10w + -10w Combine like terms: 10w + -10w = 0 29 + -3w = -1 + 0 29 + -3w = -1 Add '-29' to each side of the equation. 29 + -29 + -3w = -1 + -29 Combine like terms: 29 + -29 = 0 0 + -3w = -1 + -29 -3w = -1 + -29 Combine like terms: -1 + -29 = -30 -3w = -30 Divide each side by '-3'. w = 10 Simplifying w = 10
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