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Simplifying 5(g + -2) = 3(g + 2) Reorder the terms: 5(-2 + g) = 3(g + 2) (-2 * 5 + g * 5) = 3(g + 2) (-10 + 5g) = 3(g + 2) Reorder the terms: -10 + 5g = 3(2 + g) -10 + 5g = (2 * 3 + g * 3) -10 + 5g = (6 + 3g) Solving -10 + 5g = 6 + 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. -10 + 5g + -3g = 6 + 3g + -3g Combine like terms: 5g + -3g = 2g -10 + 2g = 6 + 3g + -3g Combine like terms: 3g + -3g = 0 -10 + 2g = 6 + 0 -10 + 2g = 6 Add '10' to each side of the equation. -10 + 10 + 2g = 6 + 10 Combine like terms: -10 + 10 = 0 0 + 2g = 6 + 10 2g = 6 + 10 Combine like terms: 6 + 10 = 16 2g = 16 Divide each side by '2'. g = 8 Simplifying g = 8
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