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Simplifying A + -1(4a + -7) = 5a + -1(a + 21) Reorder the terms: A + -1(-7 + 4a) = 5a + -1(a + 21) A + (-7 * -1 + 4a * -1) = 5a + -1(a + 21) A + (7 + -4a) = 5a + -1(a + 21) Reorder the terms: 7 + A + -4a = 5a + -1(a + 21) Reorder the terms: 7 + A + -4a = 5a + -1(21 + a) 7 + A + -4a = 5a + (21 * -1 + a * -1) 7 + A + -4a = 5a + (-21 + -1a) Reorder the terms: 7 + A + -4a = -21 + 5a + -1a Combine like terms: 5a + -1a = 4a 7 + A + -4a = -21 + 4a Solving 7 + A + -4a = -21 + 4a Solving for variable 'A'. Move all terms containing A to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + A + -7 + -4a = -21 + -7 + 4a Reorder the terms: 7 + -7 + A + -4a = -21 + -7 + 4a Combine like terms: 7 + -7 = 0 0 + A + -4a = -21 + -7 + 4a A + -4a = -21 + -7 + 4a Combine like terms: -21 + -7 = -28 A + -4a = -28 + 4a Add '4a' to each side of the equation. A + -4a + 4a = -28 + 4a + 4a Combine like terms: -4a + 4a = 0 A + 0 = -28 + 4a + 4a A = -28 + 4a + 4a Combine like terms: 4a + 4a = 8a A = -28 + 8a Simplifying A = -28 + 8a
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