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Simplifying A + 2(3a + -6) = 30 + -2(a + 3) Reorder the terms: A + 2(-6 + 3a) = 30 + -2(a + 3) A + (-6 * 2 + 3a * 2) = 30 + -2(a + 3) A + (-12 + 6a) = 30 + -2(a + 3) Reorder the terms: -12 + A + 6a = 30 + -2(a + 3) Reorder the terms: -12 + A + 6a = 30 + -2(3 + a) -12 + A + 6a = 30 + (3 * -2 + a * -2) -12 + A + 6a = 30 + (-6 + -2a) Combine like terms: 30 + -6 = 24 -12 + A + 6a = 24 + -2a Solving -12 + A + 6a = 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 + 6a = 24 + 12 + -2a Reorder the terms: -12 + 12 + A + 6a = 24 + 12 + -2a Combine like terms: -12 + 12 = 0 0 + A + 6a = 24 + 12 + -2a A + 6a = 24 + 12 + -2a Combine like terms: 24 + 12 = 36 A + 6a = 36 + -2a Add '-6a' to each side of the equation. A + 6a + -6a = 36 + -2a + -6a Combine like terms: 6a + -6a = 0 A + 0 = 36 + -2a + -6a A = 36 + -2a + -6a Combine like terms: -2a + -6a = -8a A = 36 + -8a Simplifying A = 36 + -8a
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