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Simplifying 3(g + 1) + 5(2g + -3) = 14 Reorder the terms: 3(1 + g) + 5(2g + -3) = 14 (1 * 3 + g * 3) + 5(2g + -3) = 14 (3 + 3g) + 5(2g + -3) = 14 Reorder the terms: 3 + 3g + 5(-3 + 2g) = 14 3 + 3g + (-3 * 5 + 2g * 5) = 14 3 + 3g + (-15 + 10g) = 14 Reorder the terms: 3 + -15 + 3g + 10g = 14 Combine like terms: 3 + -15 = -12 -12 + 3g + 10g = 14 Combine like terms: 3g + 10g = 13g -12 + 13g = 14 Solving -12 + 13g = 14 Solving for variable 'g'. Move all terms containing g to the left, all other terms to the right. Add '12' to each side of the equation. -12 + 12 + 13g = 14 + 12 Combine like terms: -12 + 12 = 0 0 + 13g = 14 + 12 13g = 14 + 12 Combine like terms: 14 + 12 = 26 13g = 26 Divide each side by '13'. g = 2 Simplifying g = 2
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