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Simplifying -1(4a + 2) + -1(3a + -5) = -7 + -1(2a + -5) Reorder the terms: -1(2 + 4a) + -1(3a + -5) = -7 + -1(2a + -5) (2 * -1 + 4a * -1) + -1(3a + -5) = -7 + -1(2a + -5) (-2 + -4a) + -1(3a + -5) = -7 + -1(2a + -5) Reorder the terms: -2 + -4a + -1(-5 + 3a) = -7 + -1(2a + -5) -2 + -4a + (-5 * -1 + 3a * -1) = -7 + -1(2a + -5) -2 + -4a + (5 + -3a) = -7 + -1(2a + -5) Reorder the terms: -2 + 5 + -4a + -3a = -7 + -1(2a + -5) Combine like terms: -2 + 5 = 3 3 + -4a + -3a = -7 + -1(2a + -5) Combine like terms: -4a + -3a = -7a 3 + -7a = -7 + -1(2a + -5) Reorder the terms: 3 + -7a = -7 + -1(-5 + 2a) 3 + -7a = -7 + (-5 * -1 + 2a * -1) 3 + -7a = -7 + (5 + -2a) Combine like terms: -7 + 5 = -2 3 + -7a = -2 + -2a Solving 3 + -7a = -2 + -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. 3 + -7a + 2a = -2 + -2a + 2a Combine like terms: -7a + 2a = -5a 3 + -5a = -2 + -2a + 2a Combine like terms: -2a + 2a = 0 3 + -5a = -2 + 0 3 + -5a = -2 Add '-3' to each side of the equation. 3 + -3 + -5a = -2 + -3 Combine like terms: 3 + -3 = 0 0 + -5a = -2 + -3 -5a = -2 + -3 Combine like terms: -2 + -3 = -5 -5a = -5 Divide each side by '-5'. a = 1 Simplifying a = 1
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