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Simplifying 40 = -10(1 + a) 40 = (1 * -10 + a * -10) 40 = (-10 + -10a) Solving 40 = -10 + -10a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '10a' to each side of the equation. 40 + 10a = -10 + -10a + 10a Combine like terms: -10a + 10a = 0 40 + 10a = -10 + 0 40 + 10a = -10 Add '-40' to each side of the equation. 40 + -40 + 10a = -10 + -40 Combine like terms: 40 + -40 = 0 0 + 10a = -10 + -40 10a = -10 + -40 Combine like terms: -10 + -40 = -50 10a = -50 Divide each side by '10'. a = -5 Simplifying a = -5
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