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Simplifying w + -10 = 3w + 9 + 1 Reorder the terms: -10 + w = 3w + 9 + 1 Reorder the terms: -10 + w = 9 + 1 + 3w Combine like terms: 9 + 1 = 10 -10 + w = 10 + 3w Solving -10 + w = 10 + 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 + w + -3w = 10 + 3w + -3w Combine like terms: w + -3w = -2w -10 + -2w = 10 + 3w + -3w Combine like terms: 3w + -3w = 0 -10 + -2w = 10 + 0 -10 + -2w = 10 Add '10' to each side of the equation. -10 + 10 + -2w = 10 + 10 Combine like terms: -10 + 10 = 0 0 + -2w = 10 + 10 -2w = 10 + 10 Combine like terms: 10 + 10 = 20 -2w = 20 Divide each side by '-2'. w = -10 Simplifying w = -10
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