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Simplifying 5(1 + -3a) = 40 + -8a (1 * 5 + -3a * 5) = 40 + -8a (5 + -15a) = 40 + -8a Solving 5 + -15a = 40 + -8a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '8a' to each side of the equation. 5 + -15a + 8a = 40 + -8a + 8a Combine like terms: -15a + 8a = -7a 5 + -7a = 40 + -8a + 8a Combine like terms: -8a + 8a = 0 5 + -7a = 40 + 0 5 + -7a = 40 Add '-5' to each side of the equation. 5 + -5 + -7a = 40 + -5 Combine like terms: 5 + -5 = 0 0 + -7a = 40 + -5 -7a = 40 + -5 Combine like terms: 40 + -5 = 35 -7a = 35 Divide each side by '-7'. a = -5 Simplifying a = -5
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