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Simplifying 4(2a + -1) = (a + -5) Reorder the terms: 4(-1 + 2a) = (a + -5) (-1 * 4 + 2a * 4) = (a + -5) (-4 + 8a) = (a + -5) Reorder the terms: -4 + 8a = (-5 + a) Remove parenthesis around (-5 + a) -4 + 8a = -5 + a Solving -4 + 8a = -5 + a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-1a' to each side of the equation. -4 + 8a + -1a = -5 + a + -1a Combine like terms: 8a + -1a = 7a -4 + 7a = -5 + a + -1a Combine like terms: a + -1a = 0 -4 + 7a = -5 + 0 -4 + 7a = -5 Add '4' to each side of the equation. -4 + 4 + 7a = -5 + 4 Combine like terms: -4 + 4 = 0 0 + 7a = -5 + 4 7a = -5 + 4 Combine like terms: -5 + 4 = -1 7a = -1 Divide each side by '7'. a = -0.1428571429 Simplifying a = -0.1428571429
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