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Simplifying A + 4(2a + 1) = 3(3a + -2) * 10a Reorder the terms: A + 4(1 + 2a) = 3(3a + -2) * 10a A + (1 * 4 + 2a * 4) = 3(3a + -2) * 10a A + (4 + 8a) = 3(3a + -2) * 10a Reorder the terms: 4 + A + 8a = 3(3a + -2) * 10a Reorder the terms: 4 + A + 8a = 3(-2 + 3a) * 10a Reorder the terms for easier multiplication: 4 + A + 8a = 3 * 10a(-2 + 3a) Multiply 3 * 10 4 + A + 8a = 30a(-2 + 3a) 4 + A + 8a = (-2 * 30a + 3a * 30a) 4 + A + 8a = (-60a + 90a2) Solving 4 + A + 8a = -60a + 90a2 Solving for variable 'A'. Move all terms containing A to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + A + -4 + 8a = -60a + -4 + 90a2 Reorder the terms: 4 + -4 + A + 8a = -60a + -4 + 90a2 Combine like terms: 4 + -4 = 0 0 + A + 8a = -60a + -4 + 90a2 A + 8a = -60a + -4 + 90a2 Reorder the terms: A + 8a = -4 + -60a + 90a2 Add '-8a' to each side of the equation. A + 8a + -8a = -4 + -60a + -8a + 90a2 Combine like terms: 8a + -8a = 0 A + 0 = -4 + -60a + -8a + 90a2 A = -4 + -60a + -8a + 90a2 Combine like terms: -60a + -8a = -68a A = -4 + -68a + 90a2 Simplifying A = -4 + -68a + 90a2
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