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Simplifying 3(2g + -5) + -9 = 9 + -1(4g + 5) Reorder the terms: 3(-5 + 2g) + -9 = 9 + -1(4g + 5) (-5 * 3 + 2g * 3) + -9 = 9 + -1(4g + 5) (-15 + 6g) + -9 = 9 + -1(4g + 5) Reorder the terms: -15 + -9 + 6g = 9 + -1(4g + 5) Combine like terms: -15 + -9 = -24 -24 + 6g = 9 + -1(4g + 5) Reorder the terms: -24 + 6g = 9 + -1(5 + 4g) -24 + 6g = 9 + (5 * -1 + 4g * -1) -24 + 6g = 9 + (-5 + -4g) Combine like terms: 9 + -5 = 4 -24 + 6g = 4 + -4g Solving -24 + 6g = 4 + -4g Solving for variable 'g'. Move all terms containing g to the left, all other terms to the right. Add '4g' to each side of the equation. -24 + 6g + 4g = 4 + -4g + 4g Combine like terms: 6g + 4g = 10g -24 + 10g = 4 + -4g + 4g Combine like terms: -4g + 4g = 0 -24 + 10g = 4 + 0 -24 + 10g = 4 Add '24' to each side of the equation. -24 + 24 + 10g = 4 + 24 Combine like terms: -24 + 24 = 0 0 + 10g = 4 + 24 10g = 4 + 24 Combine like terms: 4 + 24 = 28 10g = 28 Divide each side by '10'. g = 2.8 Simplifying g = 2.8
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