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Simplifying 5(g + -3) = 3(g + 1) Reorder the terms: 5(-3 + g) = 3(g + 1) (-3 * 5 + g * 5) = 3(g + 1) (-15 + 5g) = 3(g + 1) Reorder the terms: -15 + 5g = 3(1 + g) -15 + 5g = (1 * 3 + g * 3) -15 + 5g = (3 + 3g) Solving -15 + 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. -15 + 5g + -3g = 3 + 3g + -3g Combine like terms: 5g + -3g = 2g -15 + 2g = 3 + 3g + -3g Combine like terms: 3g + -3g = 0 -15 + 2g = 3 + 0 -15 + 2g = 3 Add '15' to each side of the equation. -15 + 15 + 2g = 3 + 15 Combine like terms: -15 + 15 = 0 0 + 2g = 3 + 15 2g = 3 + 15 Combine like terms: 3 + 15 = 18 2g = 18 Divide each side by '2'. g = 9 Simplifying g = 9
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