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Simplifying -1(4a + 1) + -1(3a + -5) = 14 + -1(4a + 4) Reorder the terms: -1(1 + 4a) + -1(3a + -5) = 14 + -1(4a + 4) (1 * -1 + 4a * -1) + -1(3a + -5) = 14 + -1(4a + 4) (-1 + -4a) + -1(3a + -5) = 14 + -1(4a + 4) Reorder the terms: -1 + -4a + -1(-5 + 3a) = 14 + -1(4a + 4) -1 + -4a + (-5 * -1 + 3a * -1) = 14 + -1(4a + 4) -1 + -4a + (5 + -3a) = 14 + -1(4a + 4) Reorder the terms: -1 + 5 + -4a + -3a = 14 + -1(4a + 4) Combine like terms: -1 + 5 = 4 4 + -4a + -3a = 14 + -1(4a + 4) Combine like terms: -4a + -3a = -7a 4 + -7a = 14 + -1(4a + 4) Reorder the terms: 4 + -7a = 14 + -1(4 + 4a) 4 + -7a = 14 + (4 * -1 + 4a * -1) 4 + -7a = 14 + (-4 + -4a) Combine like terms: 14 + -4 = 10 4 + -7a = 10 + -4a Solving 4 + -7a = 10 + -4a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '4a' to each side of the equation. 4 + -7a + 4a = 10 + -4a + 4a Combine like terms: -7a + 4a = -3a 4 + -3a = 10 + -4a + 4a Combine like terms: -4a + 4a = 0 4 + -3a = 10 + 0 4 + -3a = 10 Add '-4' to each side of the equation. 4 + -4 + -3a = 10 + -4 Combine like terms: 4 + -4 = 0 0 + -3a = 10 + -4 -3a = 10 + -4 Combine like terms: 10 + -4 = 6 -3a = 6 Divide each side by '-3'. a = -2 Simplifying a = -2
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