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Simplifying -1(4a + 2) + -1(2a + -1) = -17 + -1(3a + -1) Reorder the terms: -1(2 + 4a) + -1(2a + -1) = -17 + -1(3a + -1) (2 * -1 + 4a * -1) + -1(2a + -1) = -17 + -1(3a + -1) (-2 + -4a) + -1(2a + -1) = -17 + -1(3a + -1) Reorder the terms: -2 + -4a + -1(-1 + 2a) = -17 + -1(3a + -1) -2 + -4a + (-1 * -1 + 2a * -1) = -17 + -1(3a + -1) -2 + -4a + (1 + -2a) = -17 + -1(3a + -1) Reorder the terms: -2 + 1 + -4a + -2a = -17 + -1(3a + -1) Combine like terms: -2 + 1 = -1 -1 + -4a + -2a = -17 + -1(3a + -1) Combine like terms: -4a + -2a = -6a -1 + -6a = -17 + -1(3a + -1) Reorder the terms: -1 + -6a = -17 + -1(-1 + 3a) -1 + -6a = -17 + (-1 * -1 + 3a * -1) -1 + -6a = -17 + (1 + -3a) Combine like terms: -17 + 1 = -16 -1 + -6a = -16 + -3a Solving -1 + -6a = -16 + -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. -1 + -6a + 3a = -16 + -3a + 3a Combine like terms: -6a + 3a = -3a -1 + -3a = -16 + -3a + 3a Combine like terms: -3a + 3a = 0 -1 + -3a = -16 + 0 -1 + -3a = -16 Add '1' to each side of the equation. -1 + 1 + -3a = -16 + 1 Combine like terms: -1 + 1 = 0 0 + -3a = -16 + 1 -3a = -16 + 1 Combine like terms: -16 + 1 = -15 -3a = -15 Divide each side by '-3'. a = 5 Simplifying a = 5
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