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Simplifying -4(-2a + -3) + -2(8a + 4) = -5a + a Reorder the terms: -4(-3 + -2a) + -2(8a + 4) = -5a + a (-3 * -4 + -2a * -4) + -2(8a + 4) = -5a + a (12 + 8a) + -2(8a + 4) = -5a + a Reorder the terms: 12 + 8a + -2(4 + 8a) = -5a + a 12 + 8a + (4 * -2 + 8a * -2) = -5a + a 12 + 8a + (-8 + -16a) = -5a + a Reorder the terms: 12 + -8 + 8a + -16a = -5a + a Combine like terms: 12 + -8 = 4 4 + 8a + -16a = -5a + a Combine like terms: 8a + -16a = -8a 4 + -8a = -5a + a Combine like terms: -5a + a = -4a 4 + -8a = -4a Solving 4 + -8a = -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 + -8a + 4a = -4a + 4a Combine like terms: -8a + 4a = -4a 4 + -4a = -4a + 4a Combine like terms: -4a + 4a = 0 4 + -4a = 0 Add '-4' to each side of the equation. 4 + -4 + -4a = 0 + -4 Combine like terms: 4 + -4 = 0 0 + -4a = 0 + -4 -4a = 0 + -4 Combine like terms: 0 + -4 = -4 -4a = -4 Divide each side by '-4'. a = 1 Simplifying a = 1
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