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Simplifying (2a + -3b) * 2 + 24ab = (2a + 3b) Reorder the terms for easier multiplication: 2(2a + -3b) + 24ab = (2a + 3b) (2a * 2 + -3b * 2) + 24ab = (2a + 3b) (4a + -6b) + 24ab = (2a + 3b) Reorder the terms: 4a + 24ab + -6b = (2a + 3b) Remove parenthesis around (2a + 3b) 4a + 24ab + -6b = 2a + 3b Solving 4a + 24ab + -6b = 2a + 3b Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-2a' to each side of the equation. 4a + 24ab + -2a + -6b = 2a + -2a + 3b Reorder the terms: 4a + -2a + 24ab + -6b = 2a + -2a + 3b Combine like terms: 4a + -2a = 2a 2a + 24ab + -6b = 2a + -2a + 3b Combine like terms: 2a + -2a = 0 2a + 24ab + -6b = 0 + 3b 2a + 24ab + -6b = 3b Add '6b' to each side of the equation. 2a + 24ab + -6b + 6b = 3b + 6b Combine like terms: -6b + 6b = 0 2a + 24ab + 0 = 3b + 6b 2a + 24ab = 3b + 6b Combine like terms: 3b + 6b = 9b 2a + 24ab = 9b Combine like terms: 9b + -9b = 0 2a + 24ab + -9b = 0 The solution to this equation could not be determined.
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