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Simplifying -4(-22 + 3) + -1(8 + 4a) = 5a + 2 + 10a + -9 Combine like terms: -22 + 3 = -19 -4(-19) + -1(8 + 4a) = 5a + 2 + 10a + -9 Multiply -4 * -19 76 + -1(8 + 4a) = 5a + 2 + 10a + -9 76 + (8 * -1 + 4a * -1) = 5a + 2 + 10a + -9 76 + (-8 + -4a) = 5a + 2 + 10a + -9 Combine like terms: 76 + -8 = 68 68 + -4a = 5a + 2 + 10a + -9 Reorder the terms: 68 + -4a = 2 + -9 + 5a + 10a Combine like terms: 2 + -9 = -7 68 + -4a = -7 + 5a + 10a Combine like terms: 5a + 10a = 15a 68 + -4a = -7 + 15a Solving 68 + -4a = -7 + 15a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-15a' to each side of the equation. 68 + -4a + -15a = -7 + 15a + -15a Combine like terms: -4a + -15a = -19a 68 + -19a = -7 + 15a + -15a Combine like terms: 15a + -15a = 0 68 + -19a = -7 + 0 68 + -19a = -7 Add '-68' to each side of the equation. 68 + -68 + -19a = -7 + -68 Combine like terms: 68 + -68 = 0 0 + -19a = -7 + -68 -19a = -7 + -68 Combine like terms: -7 + -68 = -75 -19a = -75 Divide each side by '-19'. a = 3.947368421 Simplifying a = 3.947368421
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