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Simplifying 5(g + -2) + 2 = 3(g + 1) Reorder the terms: 5(-2 + g) + 2 = 3(g + 1) (-2 * 5 + g * 5) + 2 = 3(g + 1) (-10 + 5g) + 2 = 3(g + 1) Reorder the terms: -10 + 2 + 5g = 3(g + 1) Combine like terms: -10 + 2 = -8 -8 + 5g = 3(g + 1) Reorder the terms: -8 + 5g = 3(1 + g) -8 + 5g = (1 * 3 + g * 3) -8 + 5g = (3 + 3g) Solving -8 + 5g = 3 + 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. -8 + 5g + -3g = 3 + 3g + -3g Combine like terms: 5g + -3g = 2g -8 + 2g = 3 + 3g + -3g Combine like terms: 3g + -3g = 0 -8 + 2g = 3 + 0 -8 + 2g = 3 Add '8' to each side of the equation. -8 + 8 + 2g = 3 + 8 Combine like terms: -8 + 8 = 0 0 + 2g = 3 + 8 2g = 3 + 8 Combine like terms: 3 + 8 = 11 2g = 11 Divide each side by '2'. g = 5.5 Simplifying g = 5.5
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