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Simplifying A + 4(a + -3) = 15 + 2a + 9 Reorder the terms: A + 4(-3 + a) = 15 + 2a + 9 A + (-3 * 4 + a * 4) = 15 + 2a + 9 A + (-12 + 4a) = 15 + 2a + 9 Reorder the terms: -12 + A + 4a = 15 + 2a + 9 Reorder the terms: -12 + A + 4a = 15 + 9 + 2a Combine like terms: 15 + 9 = 24 -12 + A + 4a = 24 + 2a Solving -12 + A + 4a = 24 + 2a Solving for variable 'A'. Move all terms containing A to the left, all other terms to the right. Add '12' to each side of the equation. -12 + A + 12 + 4a = 24 + 12 + 2a Reorder the terms: -12 + 12 + A + 4a = 24 + 12 + 2a Combine like terms: -12 + 12 = 0 0 + A + 4a = 24 + 12 + 2a A + 4a = 24 + 12 + 2a Combine like terms: 24 + 12 = 36 A + 4a = 36 + 2a Add '-4a' to each side of the equation. A + 4a + -4a = 36 + 2a + -4a Combine like terms: 4a + -4a = 0 A + 0 = 36 + 2a + -4a A = 36 + 2a + -4a Combine like terms: 2a + -4a = -2a A = 36 + -2a Simplifying A = 36 + -2a
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