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Simplifying 7g + 2 = 3(2g + 1) + 1(1g + -1) Reorder the terms: 2 + 7g = 3(2g + 1) + 1(1g + -1) Reorder the terms: 2 + 7g = 3(1 + 2g) + 1(1g + -1) 2 + 7g = (1 * 3 + 2g * 3) + 1(1g + -1) 2 + 7g = (3 + 6g) + 1(1g + -1) Reorder the terms: 2 + 7g = 3 + 6g + 1(-1 + 1g) 2 + 7g = 3 + 6g + (-1 * 1 + 1g * 1) 2 + 7g = 3 + 6g + (-1 + 1g) Reorder the terms: 2 + 7g = 3 + -1 + 6g + 1g Combine like terms: 3 + -1 = 2 2 + 7g = 2 + 6g + 1g Combine like terms: 6g + 1g = 7g 2 + 7g = 2 + 7g Add '-2' to each side of the equation. 2 + -2 + 7g = 2 + -2 + 7g Combine like terms: 2 + -2 = 0 0 + 7g = 2 + -2 + 7g 7g = 2 + -2 + 7g Combine like terms: 2 + -2 = 0 7g = 0 + 7g 7g = 7g Add '-7g' to each side of the equation. 7g + -7g = 7g + -7g Combine like terms: 7g + -7g = 0 0 = 7g + -7g Combine like terms: 7g + -7g = 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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