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Simplifying 2(5a + -3) + -1(4a + -2) = -17 + -1(4a + -3) Reorder the terms: 2(-3 + 5a) + -1(4a + -2) = -17 + -1(4a + -3) (-3 * 2 + 5a * 2) + -1(4a + -2) = -17 + -1(4a + -3) (-6 + 10a) + -1(4a + -2) = -17 + -1(4a + -3) Reorder the terms: -6 + 10a + -1(-2 + 4a) = -17 + -1(4a + -3) -6 + 10a + (-2 * -1 + 4a * -1) = -17 + -1(4a + -3) -6 + 10a + (2 + -4a) = -17 + -1(4a + -3) Reorder the terms: -6 + 2 + 10a + -4a = -17 + -1(4a + -3) Combine like terms: -6 + 2 = -4 -4 + 10a + -4a = -17 + -1(4a + -3) Combine like terms: 10a + -4a = 6a -4 + 6a = -17 + -1(4a + -3) Reorder the terms: -4 + 6a = -17 + -1(-3 + 4a) -4 + 6a = -17 + (-3 * -1 + 4a * -1) -4 + 6a = -17 + (3 + -4a) Combine like terms: -17 + 3 = -14 -4 + 6a = -14 + -4a Solving -4 + 6a = -14 + -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 + 6a + 4a = -14 + -4a + 4a Combine like terms: 6a + 4a = 10a -4 + 10a = -14 + -4a + 4a Combine like terms: -4a + 4a = 0 -4 + 10a = -14 + 0 -4 + 10a = -14 Add '4' to each side of the equation. -4 + 4 + 10a = -14 + 4 Combine like terms: -4 + 4 = 0 0 + 10a = -14 + 4 10a = -14 + 4 Combine like terms: -14 + 4 = -10 10a = -10 Divide each side by '10'. a = -1 Simplifying a = -1
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