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Simplifying b(2a + 3) = 8a + 12 Reorder the terms: b(3 + 2a) = 8a + 12 (3 * b + 2a * b) = 8a + 12 Reorder the terms: (2ab + 3b) = 8a + 12 (2ab + 3b) = 8a + 12 Reorder the terms: 2ab + 3b = 12 + 8a Solving 2ab + 3b = 12 + 8a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-8a' to each side of the equation. 2ab + -8a + 3b = 12 + 8a + -8a Reorder the terms: -8a + 2ab + 3b = 12 + 8a + -8a Combine like terms: 8a + -8a = 0 -8a + 2ab + 3b = 12 + 0 -8a + 2ab + 3b = 12 Add '-3b' to each side of the equation. -8a + 2ab + 3b + -3b = 12 + -3b Combine like terms: 3b + -3b = 0 -8a + 2ab + 0 = 12 + -3b -8a + 2ab = 12 + -3b Reorder the terms: -12 + -8a + 2ab + 3b = 12 + -3b + -12 + 3b Reorder the terms: -12 + -8a + 2ab + 3b = 12 + -12 + -3b + 3b Combine like terms: 12 + -12 = 0 -12 + -8a + 2ab + 3b = 0 + -3b + 3b -12 + -8a + 2ab + 3b = -3b + 3b Combine like terms: -3b + 3b = 0 -12 + -8a + 2ab + 3b = 0 The solution to this equation could not be determined.
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