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Simplifying -1(5a + 2) + -1(4a + 1) = 5 + -1(3a + 2) Reorder the terms: -1(2 + 5a) + -1(4a + 1) = 5 + -1(3a + 2) (2 * -1 + 5a * -1) + -1(4a + 1) = 5 + -1(3a + 2) (-2 + -5a) + -1(4a + 1) = 5 + -1(3a + 2) Reorder the terms: -2 + -5a + -1(1 + 4a) = 5 + -1(3a + 2) -2 + -5a + (1 * -1 + 4a * -1) = 5 + -1(3a + 2) -2 + -5a + (-1 + -4a) = 5 + -1(3a + 2) Reorder the terms: -2 + -1 + -5a + -4a = 5 + -1(3a + 2) Combine like terms: -2 + -1 = -3 -3 + -5a + -4a = 5 + -1(3a + 2) Combine like terms: -5a + -4a = -9a -3 + -9a = 5 + -1(3a + 2) Reorder the terms: -3 + -9a = 5 + -1(2 + 3a) -3 + -9a = 5 + (2 * -1 + 3a * -1) -3 + -9a = 5 + (-2 + -3a) Combine like terms: 5 + -2 = 3 -3 + -9a = 3 + -3a Solving -3 + -9a = 3 + -3a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '3a' to each side of the equation. -3 + -9a + 3a = 3 + -3a + 3a Combine like terms: -9a + 3a = -6a -3 + -6a = 3 + -3a + 3a Combine like terms: -3a + 3a = 0 -3 + -6a = 3 + 0 -3 + -6a = 3 Add '3' to each side of the equation. -3 + 3 + -6a = 3 + 3 Combine like terms: -3 + 3 = 0 0 + -6a = 3 + 3 -6a = 3 + 3 Combine like terms: 3 + 3 = 6 -6a = 6 Divide each side by '-6'. a = -1 Simplifying a = -1
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