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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 4 + A + 8a = (-2 * 3 + 3a * 3) + 10a 4 + A + 8a = (-6 + 9a) + 10a Combine like terms: 9a + 10a = 19a 4 + A + 8a = -6 + 19a Solving 4 + A + 8a = -6 + 19a 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 = -6 + -4 + 19a Reorder the terms: 4 + -4 + A + 8a = -6 + -4 + 19a Combine like terms: 4 + -4 = 0 0 + A + 8a = -6 + -4 + 19a A + 8a = -6 + -4 + 19a Combine like terms: -6 + -4 = -10 A + 8a = -10 + 19a Add '-8a' to each side of the equation. A + 8a + -8a = -10 + 19a + -8a Combine like terms: 8a + -8a = 0 A + 0 = -10 + 19a + -8a A = -10 + 19a + -8a Combine like terms: 19a + -8a = 11a A = -10 + 11a Simplifying A = -10 + 11a
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