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Simplifying -4(2a + -1) = -10(a + -5) Reorder the terms: -4(-1 + 2a) = -10(a + -5) (-1 * -4 + 2a * -4) = -10(a + -5) (4 + -8a) = -10(a + -5) Reorder the terms: 4 + -8a = -10(-5 + a) 4 + -8a = (-5 * -10 + a * -10) 4 + -8a = (50 + -10a) Solving 4 + -8a = 50 + -10a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '10a' to each side of the equation. 4 + -8a + 10a = 50 + -10a + 10a Combine like terms: -8a + 10a = 2a 4 + 2a = 50 + -10a + 10a Combine like terms: -10a + 10a = 0 4 + 2a = 50 + 0 4 + 2a = 50 Add '-4' to each side of the equation. 4 + -4 + 2a = 50 + -4 Combine like terms: 4 + -4 = 0 0 + 2a = 50 + -4 2a = 50 + -4 Combine like terms: 50 + -4 = 46 2a = 46 Divide each side by '2'. a = 23 Simplifying a = 23
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