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Simplifying g(3a + -1) = -3x + -11 Reorder the terms: g(-1 + 3a) = -3x + -11 (-1 * g + 3a * g) = -3x + -11 Reorder the terms: (3ag + -1g) = -3x + -11 (3ag + -1g) = -3x + -11 Reorder the terms: 3ag + -1g = -11 + -3x Solving 3ag + -1g = -11 + -3x Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add 'g' to each side of the equation. 3ag + -1g + g = -11 + g + -3x Combine like terms: -1g + g = 0 3ag + 0 = -11 + g + -3x 3ag = -11 + g + -3x Divide each side by '3g'. a = -3.666666667g-1 + 0.3333333333 + -1g-1x Simplifying a = -3.666666667g-1 + 0.3333333333 + -1g-1x Reorder the terms: a = 0.3333333333 + -3.666666667g-1 + -1g-1x
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