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Simplifying -7(w + 2) = -4w + 10 Reorder the terms: -7(2 + w) = -4w + 10 (2 * -7 + w * -7) = -4w + 10 (-14 + -7w) = -4w + 10 Reorder the terms: -14 + -7w = 10 + -4w Solving -14 + -7w = 10 + -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. -14 + -7w + 4w = 10 + -4w + 4w Combine like terms: -7w + 4w = -3w -14 + -3w = 10 + -4w + 4w Combine like terms: -4w + 4w = 0 -14 + -3w = 10 + 0 -14 + -3w = 10 Add '14' to each side of the equation. -14 + 14 + -3w = 10 + 14 Combine like terms: -14 + 14 = 0 0 + -3w = 10 + 14 -3w = 10 + 14 Combine like terms: 10 + 14 = 24 -3w = 24 Divide each side by '-3'. w = -8 Simplifying w = -8
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