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Simplifying 8a + -1(5a + 1) = 8 + -2(a + -3) Reorder the terms: 8a + -1(1 + 5a) = 8 + -2(a + -3) 8a + (1 * -1 + 5a * -1) = 8 + -2(a + -3) 8a + (-1 + -5a) = 8 + -2(a + -3) Reorder the terms: -1 + 8a + -5a = 8 + -2(a + -3) Combine like terms: 8a + -5a = 3a -1 + 3a = 8 + -2(a + -3) Reorder the terms: -1 + 3a = 8 + -2(-3 + a) -1 + 3a = 8 + (-3 * -2 + a * -2) -1 + 3a = 8 + (6 + -2a) Combine like terms: 8 + 6 = 14 -1 + 3a = 14 + -2a Solving -1 + 3a = 14 + -2a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '2a' to each side of the equation. -1 + 3a + 2a = 14 + -2a + 2a Combine like terms: 3a + 2a = 5a -1 + 5a = 14 + -2a + 2a Combine like terms: -2a + 2a = 0 -1 + 5a = 14 + 0 -1 + 5a = 14 Add '1' to each side of the equation. -1 + 1 + 5a = 14 + 1 Combine like terms: -1 + 1 = 0 0 + 5a = 14 + 1 5a = 14 + 1 Combine like terms: 14 + 1 = 15 5a = 15 Divide each side by '5'. a = 3 Simplifying a = 3
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