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Simplifying -7(w + -1) = -3w + -9 Reorder the terms: -7(-1 + w) = -3w + -9 (-1 * -7 + w * -7) = -3w + -9 (7 + -7w) = -3w + -9 Reorder the terms: 7 + -7w = -9 + -3w Solving 7 + -7w = -9 + -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. 7 + -7w + 3w = -9 + -3w + 3w Combine like terms: -7w + 3w = -4w 7 + -4w = -9 + -3w + 3w Combine like terms: -3w + 3w = 0 7 + -4w = -9 + 0 7 + -4w = -9 Add '-7' to each side of the equation. 7 + -7 + -4w = -9 + -7 Combine like terms: 7 + -7 = 0 0 + -4w = -9 + -7 -4w = -9 + -7 Combine like terms: -9 + -7 = -16 -4w = -16 Divide each side by '-4'. w = 4 Simplifying w = 4
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