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Simplifying 3(2g + 1) + -2(g + 5) = 0 Reorder the terms: 3(1 + 2g) + -2(g + 5) = 0 (1 * 3 + 2g * 3) + -2(g + 5) = 0 (3 + 6g) + -2(g + 5) = 0 Reorder the terms: 3 + 6g + -2(5 + g) = 0 3 + 6g + (5 * -2 + g * -2) = 0 3 + 6g + (-10 + -2g) = 0 Reorder the terms: 3 + -10 + 6g + -2g = 0 Combine like terms: 3 + -10 = -7 -7 + 6g + -2g = 0 Combine like terms: 6g + -2g = 4g -7 + 4g = 0 Solving -7 + 4g = 0 Solving for variable 'g'. Move all terms containing g to the left, all other terms to the right. Add '7' to each side of the equation. -7 + 7 + 4g = 0 + 7 Combine like terms: -7 + 7 = 0 0 + 4g = 0 + 7 4g = 0 + 7 Combine like terms: 0 + 7 = 7 4g = 7 Divide each side by '4'. g = 1.75 Simplifying g = 1.75
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