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Simplifying -4(3w + -6) + 13(w + -9) = -75 + -9 Reorder the terms: -4(-6 + 3w) + 13(w + -9) = -75 + -9 (-6 * -4 + 3w * -4) + 13(w + -9) = -75 + -9 (24 + -12w) + 13(w + -9) = -75 + -9 Reorder the terms: 24 + -12w + 13(-9 + w) = -75 + -9 24 + -12w + (-9 * 13 + w * 13) = -75 + -9 24 + -12w + (-117 + 13w) = -75 + -9 Reorder the terms: 24 + -117 + -12w + 13w = -75 + -9 Combine like terms: 24 + -117 = -93 -93 + -12w + 13w = -75 + -9 Combine like terms: -12w + 13w = 1w -93 + 1w = -75 + -9 Combine like terms: -75 + -9 = -84 -93 + 1w = -84 Solving -93 + 1w = -84 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '93' to each side of the equation. -93 + 93 + 1w = -84 + 93 Combine like terms: -93 + 93 = 0 0 + 1w = -84 + 93 1w = -84 + 93 Combine like terms: -84 + 93 = 9 1w = 9 Divide each side by '1'. w = 9 Simplifying w = 9
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