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Simplifying 40 = 5(10 + a) 40 = (10 * 5 + a * 5) 40 = (50 + 5a) Solving 40 = 50 + 5a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-5a' to each side of the equation. 40 + -5a = 50 + 5a + -5a Combine like terms: 5a + -5a = 0 40 + -5a = 50 + 0 40 + -5a = 50 Add '-40' to each side of the equation. 40 + -40 + -5a = 50 + -40 Combine like terms: 40 + -40 = 0 0 + -5a = 50 + -40 -5a = 50 + -40 Combine like terms: 50 + -40 = 10 -5a = 10 Divide each side by '-5'. a = -2 Simplifying a = -2
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