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Simplifying 8(3g + 1) = 7(2g + 4) Reorder the terms: 8(1 + 3g) = 7(2g + 4) (1 * 8 + 3g * 8) = 7(2g + 4) (8 + 24g) = 7(2g + 4) Reorder the terms: 8 + 24g = 7(4 + 2g) 8 + 24g = (4 * 7 + 2g * 7) 8 + 24g = (28 + 14g) Solving 8 + 24g = 28 + 14g Solving for variable 'g'. Move all terms containing g to the left, all other terms to the right. Add '-14g' to each side of the equation. 8 + 24g + -14g = 28 + 14g + -14g Combine like terms: 24g + -14g = 10g 8 + 10g = 28 + 14g + -14g Combine like terms: 14g + -14g = 0 8 + 10g = 28 + 0 8 + 10g = 28 Add '-8' to each side of the equation. 8 + -8 + 10g = 28 + -8 Combine like terms: 8 + -8 = 0 0 + 10g = 28 + -8 10g = 28 + -8 Combine like terms: 28 + -8 = 20 10g = 20 Divide each side by '10'. g = 2 Simplifying g = 2
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