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Simplifying 5(2g + -3) + -6g = -2(g + -6) + 3 Reorder the terms: 5(-3 + 2g) + -6g = -2(g + -6) + 3 (-3 * 5 + 2g * 5) + -6g = -2(g + -6) + 3 (-15 + 10g) + -6g = -2(g + -6) + 3 Combine like terms: 10g + -6g = 4g -15 + 4g = -2(g + -6) + 3 Reorder the terms: -15 + 4g = -2(-6 + g) + 3 -15 + 4g = (-6 * -2 + g * -2) + 3 -15 + 4g = (12 + -2g) + 3 Reorder the terms: -15 + 4g = 12 + 3 + -2g Combine like terms: 12 + 3 = 15 -15 + 4g = 15 + -2g Solving -15 + 4g = 15 + -2g Solving for variable 'g'. Move all terms containing g to the left, all other terms to the right. Add '2g' to each side of the equation. -15 + 4g + 2g = 15 + -2g + 2g Combine like terms: 4g + 2g = 6g -15 + 6g = 15 + -2g + 2g Combine like terms: -2g + 2g = 0 -15 + 6g = 15 + 0 -15 + 6g = 15 Add '15' to each side of the equation. -15 + 15 + 6g = 15 + 15 Combine like terms: -15 + 15 = 0 0 + 6g = 15 + 15 6g = 15 + 15 Combine like terms: 15 + 15 = 30 6g = 30 Divide each side by '6'. g = 5 Simplifying g = 5
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