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Simplifying -2(4g + 9) + 6(-6g + -9) = 0 Reorder the terms: -2(9 + 4g) + 6(-6g + -9) = 0 (9 * -2 + 4g * -2) + 6(-6g + -9) = 0 (-18 + -8g) + 6(-6g + -9) = 0 Reorder the terms: -18 + -8g + 6(-9 + -6g) = 0 -18 + -8g + (-9 * 6 + -6g * 6) = 0 -18 + -8g + (-54 + -36g) = 0 Reorder the terms: -18 + -54 + -8g + -36g = 0 Combine like terms: -18 + -54 = -72 -72 + -8g + -36g = 0 Combine like terms: -8g + -36g = -44g -72 + -44g = 0 Solving -72 + -44g = 0 Solving for variable 'g'. Move all terms containing g to the left, all other terms to the right. Add '72' to each side of the equation. -72 + 72 + -44g = 0 + 72 Combine like terms: -72 + 72 = 0 0 + -44g = 0 + 72 -44g = 0 + 72 Combine like terms: 0 + 72 = 72 -44g = 72 Divide each side by '-44'. g = -1.636363636 Simplifying g = -1.636363636
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