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Simplifying 4(3g + -2) = 5(2g + 4) Reorder the terms: 4(-2 + 3g) = 5(2g + 4) (-2 * 4 + 3g * 4) = 5(2g + 4) (-8 + 12g) = 5(2g + 4) Reorder the terms: -8 + 12g = 5(4 + 2g) -8 + 12g = (4 * 5 + 2g * 5) -8 + 12g = (20 + 10g) Solving -8 + 12g = 20 + 10g Solving for variable 'g'. Move all terms containing g to the left, all other terms to the right. Add '-10g' to each side of the equation. -8 + 12g + -10g = 20 + 10g + -10g Combine like terms: 12g + -10g = 2g -8 + 2g = 20 + 10g + -10g Combine like terms: 10g + -10g = 0 -8 + 2g = 20 + 0 -8 + 2g = 20 Add '8' to each side of the equation. -8 + 8 + 2g = 20 + 8 Combine like terms: -8 + 8 = 0 0 + 2g = 20 + 8 2g = 20 + 8 Combine like terms: 20 + 8 = 28 2g = 28 Divide each side by '2'. g = 14 Simplifying g = 14
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