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Simplifying 10 = 3w + 1 Reorder the terms: 10 = 1 + 3w Solving 10 = 1 + 3w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-3w' to each side of the equation. 10 + -3w = 1 + 3w + -3w Combine like terms: 3w + -3w = 0 10 + -3w = 1 + 0 10 + -3w = 1 Add '-10' to each side of the equation. 10 + -10 + -3w = 1 + -10 Combine like terms: 10 + -10 = 0 0 + -3w = 1 + -10 -3w = 1 + -10 Combine like terms: 1 + -10 = -9 -3w = -9 Divide each side by '-3'. w = 3 Simplifying w = 3
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