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Simplifying 6 + 17g = 15(g + 6) Reorder the terms: 6 + 17g = 15(6 + g) 6 + 17g = (6 * 15 + g * 15) 6 + 17g = (90 + 15g) Solving 6 + 17g = 90 + 15g Solving for variable 'g'. Move all terms containing g to the left, all other terms to the right. Add '-15g' to each side of the equation. 6 + 17g + -15g = 90 + 15g + -15g Combine like terms: 17g + -15g = 2g 6 + 2g = 90 + 15g + -15g Combine like terms: 15g + -15g = 0 6 + 2g = 90 + 0 6 + 2g = 90 Add '-6' to each side of the equation. 6 + -6 + 2g = 90 + -6 Combine like terms: 6 + -6 = 0 0 + 2g = 90 + -6 2g = 90 + -6 Combine like terms: 90 + -6 = 84 2g = 84 Divide each side by '2'. g = 42 Simplifying g = 42
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