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Simplifying 10 + -3w = 2w + -8w + -44 Reorder the terms: 10 + -3w = -44 + 2w + -8w Combine like terms: 2w + -8w = -6w 10 + -3w = -44 + -6w Solving 10 + -3w = -44 + -6w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '6w' to each side of the equation. 10 + -3w + 6w = -44 + -6w + 6w Combine like terms: -3w + 6w = 3w 10 + 3w = -44 + -6w + 6w Combine like terms: -6w + 6w = 0 10 + 3w = -44 + 0 10 + 3w = -44 Add '-10' to each side of the equation. 10 + -10 + 3w = -44 + -10 Combine like terms: 10 + -10 = 0 0 + 3w = -44 + -10 3w = -44 + -10 Combine like terms: -44 + -10 = -54 3w = -54 Divide each side by '3'. w = -18 Simplifying w = -18
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