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Simplifying 6(2g + -5) = 5(4g + 8) Reorder the terms: 6(-5 + 2g) = 5(4g + 8) (-5 * 6 + 2g * 6) = 5(4g + 8) (-30 + 12g) = 5(4g + 8) Reorder the terms: -30 + 12g = 5(8 + 4g) -30 + 12g = (8 * 5 + 4g * 5) -30 + 12g = (40 + 20g) Solving -30 + 12g = 40 + 20g Solving for variable 'g'. Move all terms containing g to the left, all other terms to the right. Add '-20g' to each side of the equation. -30 + 12g + -20g = 40 + 20g + -20g Combine like terms: 12g + -20g = -8g -30 + -8g = 40 + 20g + -20g Combine like terms: 20g + -20g = 0 -30 + -8g = 40 + 0 -30 + -8g = 40 Add '30' to each side of the equation. -30 + 30 + -8g = 40 + 30 Combine like terms: -30 + 30 = 0 0 + -8g = 40 + 30 -8g = 40 + 30 Combine like terms: 40 + 30 = 70 -8g = 70 Divide each side by '-8'. g = -8.75 Simplifying g = -8.75
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