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Simplifying -41 + 8a = -5(-3 + 4a) -41 + 8a = (-3 * -5 + 4a * -5) -41 + 8a = (15 + -20a) Solving -41 + 8a = 15 + -20a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '20a' to each side of the equation. -41 + 8a + 20a = 15 + -20a + 20a Combine like terms: 8a + 20a = 28a -41 + 28a = 15 + -20a + 20a Combine like terms: -20a + 20a = 0 -41 + 28a = 15 + 0 -41 + 28a = 15 Add '41' to each side of the equation. -41 + 41 + 28a = 15 + 41 Combine like terms: -41 + 41 = 0 0 + 28a = 15 + 41 28a = 15 + 41 Combine like terms: 15 + 41 = 56 28a = 56 Divide each side by '28'. a = 2 Simplifying a = 2
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