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Simplifying 3(4g + -5) + 10 = 10g + 11 Reorder the terms: 3(-5 + 4g) + 10 = 10g + 11 (-5 * 3 + 4g * 3) + 10 = 10g + 11 (-15 + 12g) + 10 = 10g + 11 Reorder the terms: -15 + 10 + 12g = 10g + 11 Combine like terms: -15 + 10 = -5 -5 + 12g = 10g + 11 Reorder the terms: -5 + 12g = 11 + 10g Solving -5 + 12g = 11 + 10g Solving for variable 'g'. Move all terms containing g to the left, all other terms to the right. Add '-10g' to each side of the equation. -5 + 12g + -10g = 11 + 10g + -10g Combine like terms: 12g + -10g = 2g -5 + 2g = 11 + 10g + -10g Combine like terms: 10g + -10g = 0 -5 + 2g = 11 + 0 -5 + 2g = 11 Add '5' to each side of the equation. -5 + 5 + 2g = 11 + 5 Combine like terms: -5 + 5 = 0 0 + 2g = 11 + 5 2g = 11 + 5 Combine like terms: 11 + 5 = 16 2g = 16 Divide each side by '2'. g = 8 Simplifying g = 8
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