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Simplifying 4g + 7 = 5(g + 2) + -1(g + -3) Reorder the terms: 7 + 4g = 5(g + 2) + -1(g + -3) Reorder the terms: 7 + 4g = 5(2 + g) + -1(g + -3) 7 + 4g = (2 * 5 + g * 5) + -1(g + -3) 7 + 4g = (10 + 5g) + -1(g + -3) Reorder the terms: 7 + 4g = 10 + 5g + -1(-3 + g) 7 + 4g = 10 + 5g + (-3 * -1 + g * -1) 7 + 4g = 10 + 5g + (3 + -1g) Reorder the terms: 7 + 4g = 10 + 3 + 5g + -1g Combine like terms: 10 + 3 = 13 7 + 4g = 13 + 5g + -1g Combine like terms: 5g + -1g = 4g 7 + 4g = 13 + 4g Add '-4g' to each side of the equation. 7 + 4g + -4g = 13 + 4g + -4g Combine like terms: 4g + -4g = 0 7 + 0 = 13 + 4g + -4g 7 = 13 + 4g + -4g Combine like terms: 4g + -4g = 0 7 = 13 + 0 7 = 13 Solving 7 = 13 Couldn't find a variable to solve for. This equation is invalid, the left and right sides are not equal, therefore there is no solution.
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