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Simplifying 5b(a + 6) + 3(a + 6) = 0 Reorder the terms: 5b(6 + a) + 3(a + 6) = 0 (6 * 5b + a * 5b) + 3(a + 6) = 0 Reorder the terms: (5ab + 30b) + 3(a + 6) = 0 (5ab + 30b) + 3(a + 6) = 0 Reorder the terms: 5ab + 30b + 3(6 + a) = 0 5ab + 30b + (6 * 3 + a * 3) = 0 5ab + 30b + (18 + 3a) = 0 Reorder the terms: 18 + 3a + 5ab + 30b = 0 Solving 18 + 3a + 5ab + 30b = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-18' to each side of the equation. 18 + 3a + 5ab + -18 + 30b = 0 + -18 Reorder the terms: 18 + -18 + 3a + 5ab + 30b = 0 + -18 Combine like terms: 18 + -18 = 0 0 + 3a + 5ab + 30b = 0 + -18 3a + 5ab + 30b = 0 + -18 Combine like terms: 0 + -18 = -18 3a + 5ab + 30b = -18 Add '-30b' to each side of the equation. 3a + 5ab + 30b + -30b = -18 + -30b Combine like terms: 30b + -30b = 0 3a + 5ab + 0 = -18 + -30b 3a + 5ab = -18 + -30b Reorder the terms: 18 + 3a + 5ab + 30b = -18 + -30b + 18 + 30b Reorder the terms: 18 + 3a + 5ab + 30b = -18 + 18 + -30b + 30b Combine like terms: -18 + 18 = 0 18 + 3a + 5ab + 30b = 0 + -30b + 30b 18 + 3a + 5ab + 30b = -30b + 30b Combine like terms: -30b + 30b = 0 18 + 3a + 5ab + 30b = 0 The solution to this equation could not be determined.
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