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Simplifying -4(a + -5) = 40 + a Reorder the terms: -4(-5 + a) = 40 + a (-5 * -4 + a * -4) = 40 + a (20 + -4a) = 40 + a Solving 20 + -4a = 40 + 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. 20 + -4a + -1a = 40 + a + -1a Combine like terms: -4a + -1a = -5a 20 + -5a = 40 + a + -1a Combine like terms: a + -1a = 0 20 + -5a = 40 + 0 20 + -5a = 40 Add '-20' to each side of the equation. 20 + -20 + -5a = 40 + -20 Combine like terms: 20 + -20 = 0 0 + -5a = 40 + -20 -5a = 40 + -20 Combine like terms: 40 + -20 = 20 -5a = 20 Divide each side by '-5'. a = -4 Simplifying a = -4
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