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Simplifying -2 + -7(7 + 3A) = -8a + -1(3a + 1) -2 + (7 * -7 + 3A * -7) = -8a + -1(3a + 1) -2 + (-49 + -21A) = -8a + -1(3a + 1) Combine like terms: -2 + -49 = -51 -51 + -21A = -8a + -1(3a + 1) Reorder the terms: -51 + -21A = -8a + -1(1 + 3a) -51 + -21A = -8a + (1 * -1 + 3a * -1) -51 + -21A = -8a + (-1 + -3a) Reorder the terms: -51 + -21A = -1 + -8a + -3a Combine like terms: -8a + -3a = -11a -51 + -21A = -1 + -11a Solving -51 + -21A = -1 + -11a Solving for variable 'A'. Move all terms containing A to the left, all other terms to the right. Add '51' to each side of the equation. -51 + 51 + -21A = -1 + 51 + -11a Combine like terms: -51 + 51 = 0 0 + -21A = -1 + 51 + -11a -21A = -1 + 51 + -11a Combine like terms: -1 + 51 = 50 -21A = 50 + -11a Divide each side by '-21'. A = -2.380952381 + 0.5238095238a Simplifying A = -2.380952381 + 0.5238095238a
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