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Simplifying 2(4g + -3) + -3(g + 8) = -75 Reorder the terms: 2(-3 + 4g) + -3(g + 8) = -75 (-3 * 2 + 4g * 2) + -3(g + 8) = -75 (-6 + 8g) + -3(g + 8) = -75 Reorder the terms: -6 + 8g + -3(8 + g) = -75 -6 + 8g + (8 * -3 + g * -3) = -75 -6 + 8g + (-24 + -3g) = -75 Reorder the terms: -6 + -24 + 8g + -3g = -75 Combine like terms: -6 + -24 = -30 -30 + 8g + -3g = -75 Combine like terms: 8g + -3g = 5g -30 + 5g = -75 Solving -30 + 5g = -75 Solving for variable 'g'. Move all terms containing g to the left, all other terms to the right. Add '30' to each side of the equation. -30 + 30 + 5g = -75 + 30 Combine like terms: -30 + 30 = 0 0 + 5g = -75 + 30 5g = -75 + 30 Combine like terms: -75 + 30 = -45 5g = -45 Divide each side by '5'. g = -9 Simplifying g = -9
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