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Simplifying -3(w + -6) = -7w + 10 Reorder the terms: -3(-6 + w) = -7w + 10 (-6 * -3 + w * -3) = -7w + 10 (18 + -3w) = -7w + 10 Reorder the terms: 18 + -3w = 10 + -7w Solving 18 + -3w = 10 + -7w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '7w' to each side of the equation. 18 + -3w + 7w = 10 + -7w + 7w Combine like terms: -3w + 7w = 4w 18 + 4w = 10 + -7w + 7w Combine like terms: -7w + 7w = 0 18 + 4w = 10 + 0 18 + 4w = 10 Add '-18' to each side of the equation. 18 + -18 + 4w = 10 + -18 Combine like terms: 18 + -18 = 0 0 + 4w = 10 + -18 4w = 10 + -18 Combine like terms: 10 + -18 = -8 4w = -8 Divide each side by '4'. w = -2 Simplifying w = -2
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