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Simplifying -4(a + -5) = 2(3a + 5) Reorder the terms: -4(-5 + a) = 2(3a + 5) (-5 * -4 + a * -4) = 2(3a + 5) (20 + -4a) = 2(3a + 5) Reorder the terms: 20 + -4a = 2(5 + 3a) 20 + -4a = (5 * 2 + 3a * 2) 20 + -4a = (10 + 6a) Solving 20 + -4a = 10 + 6a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-6a' to each side of the equation. 20 + -4a + -6a = 10 + 6a + -6a Combine like terms: -4a + -6a = -10a 20 + -10a = 10 + 6a + -6a Combine like terms: 6a + -6a = 0 20 + -10a = 10 + 0 20 + -10a = 10 Add '-20' to each side of the equation. 20 + -20 + -10a = 10 + -20 Combine like terms: 20 + -20 = 0 0 + -10a = 10 + -20 -10a = 10 + -20 Combine like terms: 10 + -20 = -10 -10a = -10 Divide each side by '-10'. a = 1 Simplifying a = 1
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