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Simplifying -4(w + 3) + -1(4w + -7) = -9w Reorder the terms: -4(3 + w) + -1(4w + -7) = -9w (3 * -4 + w * -4) + -1(4w + -7) = -9w (-12 + -4w) + -1(4w + -7) = -9w Reorder the terms: -12 + -4w + -1(-7 + 4w) = -9w -12 + -4w + (-7 * -1 + 4w * -1) = -9w -12 + -4w + (7 + -4w) = -9w Reorder the terms: -12 + 7 + -4w + -4w = -9w Combine like terms: -12 + 7 = -5 -5 + -4w + -4w = -9w Combine like terms: -4w + -4w = -8w -5 + -8w = -9w Solving -5 + -8w = -9w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '9w' to each side of the equation. -5 + -8w + 9w = -9w + 9w Combine like terms: -8w + 9w = 1w -5 + 1w = -9w + 9w Combine like terms: -9w + 9w = 0 -5 + 1w = 0 Add '5' to each side of the equation. -5 + 5 + 1w = 0 + 5 Combine like terms: -5 + 5 = 0 0 + 1w = 0 + 5 1w = 0 + 5 Combine like terms: 0 + 5 = 5 1w = 5 Divide each side by '1'. w = 5 Simplifying w = 5
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