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Simplifying g(a + 7) = 6(a + 7) + -11 Reorder the terms: g(7 + a) = 6(a + 7) + -11 (7 * g + a * g) = 6(a + 7) + -11 Reorder the terms: (ag + 7g) = 6(a + 7) + -11 (ag + 7g) = 6(a + 7) + -11 Reorder the terms: ag + 7g = 6(7 + a) + -11 ag + 7g = (7 * 6 + a * 6) + -11 ag + 7g = (42 + 6a) + -11 Reorder the terms: ag + 7g = 42 + -11 + 6a Combine like terms: 42 + -11 = 31 ag + 7g = 31 + 6a Solving ag + 7g = 31 + 6a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-6a' to each side of the equation. ag + -6a + 7g = 31 + 6a + -6a Reorder the terms: -6a + ag + 7g = 31 + 6a + -6a Combine like terms: 6a + -6a = 0 -6a + ag + 7g = 31 + 0 -6a + ag + 7g = 31 Add '-7g' to each side of the equation. -6a + ag + 7g + -7g = 31 + -7g Combine like terms: 7g + -7g = 0 -6a + ag + 0 = 31 + -7g -6a + ag = 31 + -7g Reorder the terms: -31 + -6a + ag + 7g = 31 + -7g + -31 + 7g Reorder the terms: -31 + -6a + ag + 7g = 31 + -31 + -7g + 7g Combine like terms: 31 + -31 = 0 -31 + -6a + ag + 7g = 0 + -7g + 7g -31 + -6a + ag + 7g = -7g + 7g Combine like terms: -7g + 7g = 0 -31 + -6a + ag + 7g = 0 The solution to this equation could not be determined.
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