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Simplifying 2(4g + -1) = 3(g + 6) Reorder the terms: 2(-1 + 4g) = 3(g + 6) (-1 * 2 + 4g * 2) = 3(g + 6) (-2 + 8g) = 3(g + 6) Reorder the terms: -2 + 8g = 3(6 + g) -2 + 8g = (6 * 3 + g * 3) -2 + 8g = (18 + 3g) Solving -2 + 8g = 18 + 3g Solving for variable 'g'. Move all terms containing g to the left, all other terms to the right. Add '-3g' to each side of the equation. -2 + 8g + -3g = 18 + 3g + -3g Combine like terms: 8g + -3g = 5g -2 + 5g = 18 + 3g + -3g Combine like terms: 3g + -3g = 0 -2 + 5g = 18 + 0 -2 + 5g = 18 Add '2' to each side of the equation. -2 + 2 + 5g = 18 + 2 Combine like terms: -2 + 2 = 0 0 + 5g = 18 + 2 5g = 18 + 2 Combine like terms: 18 + 2 = 20 5g = 20 Divide each side by '5'. g = 4 Simplifying g = 4
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