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Simplifying 3q + 2(-7 + 3g) = 1 + -1g 3q + (-7 * 2 + 3g * 2) = 1 + -1g 3q + (-14 + 6g) = 1 + -1g Reorder the terms: -14 + 6g + 3q = 1 + -1g Solving -14 + 6g + 3q = 1 + -1g Solving for variable 'g'. Move all terms containing g to the left, all other terms to the right. Add 'g' to each side of the equation. -14 + 6g + g + 3q = 1 + -1g + g Combine like terms: 6g + g = 7g -14 + 7g + 3q = 1 + -1g + g Combine like terms: -1g + g = 0 -14 + 7g + 3q = 1 + 0 -14 + 7g + 3q = 1 Add '14' to each side of the equation. -14 + 7g + 14 + 3q = 1 + 14 Reorder the terms: -14 + 14 + 7g + 3q = 1 + 14 Combine like terms: -14 + 14 = 0 0 + 7g + 3q = 1 + 14 7g + 3q = 1 + 14 Combine like terms: 1 + 14 = 15 7g + 3q = 15 Add '-3q' to each side of the equation. 7g + 3q + -3q = 15 + -3q Combine like terms: 3q + -3q = 0 7g + 0 = 15 + -3q 7g = 15 + -3q Divide each side by '7'. g = 2.142857143 + -0.4285714286q Simplifying g = 2.142857143 + -0.4285714286q
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