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Simplifying -4(7 + 6g) + -7(8g + 1) = 0 (7 * -4 + 6g * -4) + -7(8g + 1) = 0 (-28 + -24g) + -7(8g + 1) = 0 Reorder the terms: -28 + -24g + -7(1 + 8g) = 0 -28 + -24g + (1 * -7 + 8g * -7) = 0 -28 + -24g + (-7 + -56g) = 0 Reorder the terms: -28 + -7 + -24g + -56g = 0 Combine like terms: -28 + -7 = -35 -35 + -24g + -56g = 0 Combine like terms: -24g + -56g = -80g -35 + -80g = 0 Solving -35 + -80g = 0 Solving for variable 'g'. Move all terms containing g to the left, all other terms to the right. Add '35' to each side of the equation. -35 + 35 + -80g = 0 + 35 Combine like terms: -35 + 35 = 0 0 + -80g = 0 + 35 -80g = 0 + 35 Combine like terms: 0 + 35 = 35 -80g = 35 Divide each side by '-80'. g = -0.4375 Simplifying g = -0.4375
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