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Simplifying -4(-2a + 3) + -1(8 + 4a) = 5a + 2 + 10a + -9 Reorder the terms: -4(3 + -2a) + -1(8 + 4a) = 5a + 2 + 10a + -9 (3 * -4 + -2a * -4) + -1(8 + 4a) = 5a + 2 + 10a + -9 (-12 + 8a) + -1(8 + 4a) = 5a + 2 + 10a + -9 -12 + 8a + (8 * -1 + 4a * -1) = 5a + 2 + 10a + -9 -12 + 8a + (-8 + -4a) = 5a + 2 + 10a + -9 Reorder the terms: -12 + -8 + 8a + -4a = 5a + 2 + 10a + -9 Combine like terms: -12 + -8 = -20 -20 + 8a + -4a = 5a + 2 + 10a + -9 Combine like terms: 8a + -4a = 4a -20 + 4a = 5a + 2 + 10a + -9 Reorder the terms: -20 + 4a = 2 + -9 + 5a + 10a Combine like terms: 2 + -9 = -7 -20 + 4a = -7 + 5a + 10a Combine like terms: 5a + 10a = 15a -20 + 4a = -7 + 15a Solving -20 + 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. -20 + 4a + -15a = -7 + 15a + -15a Combine like terms: 4a + -15a = -11a -20 + -11a = -7 + 15a + -15a Combine like terms: 15a + -15a = 0 -20 + -11a = -7 + 0 -20 + -11a = -7 Add '20' to each side of the equation. -20 + 20 + -11a = -7 + 20 Combine like terms: -20 + 20 = 0 0 + -11a = -7 + 20 -11a = -7 + 20 Combine like terms: -7 + 20 = 13 -11a = 13 Divide each side by '-11'. a = -1.181818182 Simplifying a = -1.181818182
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