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Simplifying 4(2 + -1a) + -1(3a + 10) = 19 (2 * 4 + -1a * 4) + -1(3a + 10) = 19 (8 + -4a) + -1(3a + 10) = 19 Reorder the terms: 8 + -4a + -1(10 + 3a) = 19 8 + -4a + (10 * -1 + 3a * -1) = 19 8 + -4a + (-10 + -3a) = 19 Reorder the terms: 8 + -10 + -4a + -3a = 19 Combine like terms: 8 + -10 = -2 -2 + -4a + -3a = 19 Combine like terms: -4a + -3a = -7a -2 + -7a = 19 Solving -2 + -7a = 19 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '2' to each side of the equation. -2 + 2 + -7a = 19 + 2 Combine like terms: -2 + 2 = 0 0 + -7a = 19 + 2 -7a = 19 + 2 Combine like terms: 19 + 2 = 21 -7a = 21 Divide each side by '-7'. a = -3 Simplifying a = -3
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