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Simplifying 7w + -1(3w + -7) = -9 Reorder the terms: 7w + -1(-7 + 3w) = -9 7w + (-7 * -1 + 3w * -1) = -9 7w + (7 + -3w) = -9 Reorder the terms: 7 + 7w + -3w = -9 Combine like terms: 7w + -3w = 4w 7 + 4w = -9 Solving 7 + 4w = -9 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. 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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