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Simplifying -112 = 8(1 + 5a) -112 = (1 * 8 + 5a * 8) -112 = (8 + 40a) Solving -112 = 8 + 40a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-40a' to each side of the equation. -112 + -40a = 8 + 40a + -40a Combine like terms: 40a + -40a = 0 -112 + -40a = 8 + 0 -112 + -40a = 8 Add '112' to each side of the equation. -112 + 112 + -40a = 8 + 112 Combine like terms: -112 + 112 = 0 0 + -40a = 8 + 112 -40a = 8 + 112 Combine like terms: 8 + 112 = 120 -40a = 120 Divide each side by '-40'. a = -3 Simplifying a = -3
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