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Simplifying 7(3g + 1) + -4g = 3(5g + 1) + 2(g + 2) Reorder the terms: 7(1 + 3g) + -4g = 3(5g + 1) + 2(g + 2) (1 * 7 + 3g * 7) + -4g = 3(5g + 1) + 2(g + 2) (7 + 21g) + -4g = 3(5g + 1) + 2(g + 2) Combine like terms: 21g + -4g = 17g 7 + 17g = 3(5g + 1) + 2(g + 2) Reorder the terms: 7 + 17g = 3(1 + 5g) + 2(g + 2) 7 + 17g = (1 * 3 + 5g * 3) + 2(g + 2) 7 + 17g = (3 + 15g) + 2(g + 2) Reorder the terms: 7 + 17g = 3 + 15g + 2(2 + g) 7 + 17g = 3 + 15g + (2 * 2 + g * 2) 7 + 17g = 3 + 15g + (4 + 2g) Reorder the terms: 7 + 17g = 3 + 4 + 15g + 2g Combine like terms: 3 + 4 = 7 7 + 17g = 7 + 15g + 2g Combine like terms: 15g + 2g = 17g 7 + 17g = 7 + 17g Add '-7' to each side of the equation. 7 + -7 + 17g = 7 + -7 + 17g Combine like terms: 7 + -7 = 0 0 + 17g = 7 + -7 + 17g 17g = 7 + -7 + 17g Combine like terms: 7 + -7 = 0 17g = 0 + 17g 17g = 17g Add '-17g' to each side of the equation. 17g + -17g = 17g + -17g Combine like terms: 17g + -17g = 0 0 = 17g + -17g Combine like terms: 17g + -17g = 0 0 = 0 Solving 0 = 0 Couldn't find a variable to solve for. This equation is an identity, all real numbers are solutions.
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