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Simplifying 8(a + 4) + -2A = 19 + -3(a + 6) Reorder the terms: 8(4 + a) + -2A = 19 + -3(a + 6) (4 * 8 + a * 8) + -2A = 19 + -3(a + 6) (32 + 8a) + -2A = 19 + -3(a + 6) Reorder the terms: 32 + -2A + 8a = 19 + -3(a + 6) Reorder the terms: 32 + -2A + 8a = 19 + -3(6 + a) 32 + -2A + 8a = 19 + (6 * -3 + a * -3) 32 + -2A + 8a = 19 + (-18 + -3a) Combine like terms: 19 + -18 = 1 32 + -2A + 8a = 1 + -3a Solving 32 + -2A + 8a = 1 + -3a Solving for variable 'A'. Move all terms containing A to the left, all other terms to the right. Add '-32' to each side of the equation. 32 + -2A + -32 + 8a = 1 + -32 + -3a Reorder the terms: 32 + -32 + -2A + 8a = 1 + -32 + -3a Combine like terms: 32 + -32 = 0 0 + -2A + 8a = 1 + -32 + -3a -2A + 8a = 1 + -32 + -3a Combine like terms: 1 + -32 = -31 -2A + 8a = -31 + -3a Add '-8a' to each side of the equation. -2A + 8a + -8a = -31 + -3a + -8a Combine like terms: 8a + -8a = 0 -2A + 0 = -31 + -3a + -8a -2A = -31 + -3a + -8a Combine like terms: -3a + -8a = -11a -2A = -31 + -11a Divide each side by '-2'. A = 15.5 + 5.5a Simplifying A = 15.5 + 5.5a
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