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Simplifying 3(8g + -2) = 9(5g + -10) Reorder the terms: 3(-2 + 8g) = 9(5g + -10) (-2 * 3 + 8g * 3) = 9(5g + -10) (-6 + 24g) = 9(5g + -10) Reorder the terms: -6 + 24g = 9(-10 + 5g) -6 + 24g = (-10 * 9 + 5g * 9) -6 + 24g = (-90 + 45g) Solving -6 + 24g = -90 + 45g Solving for variable 'g'. Move all terms containing g to the left, all other terms to the right. Add '-45g' to each side of the equation. -6 + 24g + -45g = -90 + 45g + -45g Combine like terms: 24g + -45g = -21g -6 + -21g = -90 + 45g + -45g Combine like terms: 45g + -45g = 0 -6 + -21g = -90 + 0 -6 + -21g = -90 Add '6' to each side of the equation. -6 + 6 + -21g = -90 + 6 Combine like terms: -6 + 6 = 0 0 + -21g = -90 + 6 -21g = -90 + 6 Combine like terms: -90 + 6 = -84 -21g = -84 Divide each side by '-21'. g = 4 Simplifying g = 4
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