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Simplifying -1(2a + 4) + -1(5a + 1) = 1 + -1(2a + -4) Reorder the terms: -1(4 + 2a) + -1(5a + 1) = 1 + -1(2a + -4) (4 * -1 + 2a * -1) + -1(5a + 1) = 1 + -1(2a + -4) (-4 + -2a) + -1(5a + 1) = 1 + -1(2a + -4) Reorder the terms: -4 + -2a + -1(1 + 5a) = 1 + -1(2a + -4) -4 + -2a + (1 * -1 + 5a * -1) = 1 + -1(2a + -4) -4 + -2a + (-1 + -5a) = 1 + -1(2a + -4) Reorder the terms: -4 + -1 + -2a + -5a = 1 + -1(2a + -4) Combine like terms: -4 + -1 = -5 -5 + -2a + -5a = 1 + -1(2a + -4) Combine like terms: -2a + -5a = -7a -5 + -7a = 1 + -1(2a + -4) Reorder the terms: -5 + -7a = 1 + -1(-4 + 2a) -5 + -7a = 1 + (-4 * -1 + 2a * -1) -5 + -7a = 1 + (4 + -2a) Combine like terms: 1 + 4 = 5 -5 + -7a = 5 + -2a Solving -5 + -7a = 5 + -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. -5 + -7a + 2a = 5 + -2a + 2a Combine like terms: -7a + 2a = -5a -5 + -5a = 5 + -2a + 2a Combine like terms: -2a + 2a = 0 -5 + -5a = 5 + 0 -5 + -5a = 5 Add '5' to each side of the equation. -5 + 5 + -5a = 5 + 5 Combine like terms: -5 + 5 = 0 0 + -5a = 5 + 5 -5a = 5 + 5 Combine like terms: 5 + 5 = 10 -5a = 10 Divide each side by '-5'. a = -2 Simplifying a = -2
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