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Simplifying -1(w + -10) = 3w + -2 + -7w Reorder the terms: -1(-10 + w) = 3w + -2 + -7w (-10 * -1 + w * -1) = 3w + -2 + -7w (10 + -1w) = 3w + -2 + -7w Reorder the terms: 10 + -1w = -2 + 3w + -7w Combine like terms: 3w + -7w = -4w 10 + -1w = -2 + -4w Solving 10 + -1w = -2 + -4w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '4w' to each side of the equation. 10 + -1w + 4w = -2 + -4w + 4w Combine like terms: -1w + 4w = 3w 10 + 3w = -2 + -4w + 4w Combine like terms: -4w + 4w = 0 10 + 3w = -2 + 0 10 + 3w = -2 Add '-10' to each side of the equation. 10 + -10 + 3w = -2 + -10 Combine like terms: 10 + -10 = 0 0 + 3w = -2 + -10 3w = -2 + -10 Combine like terms: -2 + -10 = -12 3w = -12 Divide each side by '3'. w = -4 Simplifying w = -4
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