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Simplifying (a + -3)(6d + 1) = 0 Reorder the terms: (-3 + a)(6d + 1) = 0 Reorder the terms: (-3 + a)(1 + 6d) = 0 Multiply (-3 + a) * (1 + 6d) (-3(1 + 6d) + a(1 + 6d)) = 0 ((1 * -3 + 6d * -3) + a(1 + 6d)) = 0 ((-3 + -18d) + a(1 + 6d)) = 0 (-3 + -18d + (1 * a + 6d * a)) = 0 (-3 + -18d + (1a + 6ad)) = 0 Reorder the terms: (-3 + 1a + 6ad + -18d) = 0 (-3 + 1a + 6ad + -18d) = 0 Solving -3 + 1a + 6ad + -18d = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '3' to each side of the equation. -3 + 1a + 6ad + 3 + -18d = 0 + 3 Reorder the terms: -3 + 3 + 1a + 6ad + -18d = 0 + 3 Combine like terms: -3 + 3 = 0 0 + 1a + 6ad + -18d = 0 + 3 1a + 6ad + -18d = 0 + 3 Combine like terms: 0 + 3 = 3 1a + 6ad + -18d = 3 Add '18d' to each side of the equation. 1a + 6ad + -18d + 18d = 3 + 18d Combine like terms: -18d + 18d = 0 1a + 6ad + 0 = 3 + 18d 1a + 6ad = 3 + 18d Reorder the terms: -3 + 1a + 6ad + -18d = 3 + 18d + -3 + -18d Reorder the terms: -3 + 1a + 6ad + -18d = 3 + -3 + 18d + -18d Combine like terms: 3 + -3 = 0 -3 + 1a + 6ad + -18d = 0 + 18d + -18d -3 + 1a + 6ad + -18d = 18d + -18d Combine like terms: 18d + -18d = 0 -3 + 1a + 6ad + -18d = 0 The solution to this equation could not be determined.
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