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Simplifying -40 + -8a = -4(1 + 5a) -40 + -8a = (1 * -4 + 5a * -4) -40 + -8a = (-4 + -20a) Solving -40 + -8a = -4 + -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. -40 + -8a + 20a = -4 + -20a + 20a Combine like terms: -8a + 20a = 12a -40 + 12a = -4 + -20a + 20a Combine like terms: -20a + 20a = 0 -40 + 12a = -4 + 0 -40 + 12a = -4 Add '40' to each side of the equation. -40 + 40 + 12a = -4 + 40 Combine like terms: -40 + 40 = 0 0 + 12a = -4 + 40 12a = -4 + 40 Combine like terms: -4 + 40 = 36 12a = 36 Divide each side by '12'. a = 3 Simplifying a = 3
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