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Simplifying 6a + 11 + 3d = 47 Reorder the terms: 11 + 6a + 3d = 47 Solving 11 + 6a + 3d = 47 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-11' to each side of the equation. 11 + 6a + -11 + 3d = 47 + -11 Reorder the terms: 11 + -11 + 6a + 3d = 47 + -11 Combine like terms: 11 + -11 = 0 0 + 6a + 3d = 47 + -11 6a + 3d = 47 + -11 Combine like terms: 47 + -11 = 36 6a + 3d = 36 Add '-3d' to each side of the equation. 6a + 3d + -3d = 36 + -3d Combine like terms: 3d + -3d = 0 6a + 0 = 36 + -3d 6a = 36 + -3d Divide each side by '6'. a = 6 + -0.5d Simplifying a = 6 + -0.5d
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