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Simplifying 40 + a = 8a + 5 Reorder the terms: 40 + a = 5 + 8a Solving 40 + a = 5 + 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. 40 + a + -8a = 5 + 8a + -8a Combine like terms: a + -8a = -7a 40 + -7a = 5 + 8a + -8a Combine like terms: 8a + -8a = 0 40 + -7a = 5 + 0 40 + -7a = 5 Add '-40' to each side of the equation. 40 + -40 + -7a = 5 + -40 Combine like terms: 40 + -40 = 0 0 + -7a = 5 + -40 -7a = 5 + -40 Combine like terms: 5 + -40 = -35 -7a = -35 Divide each side by '-7'. a = 5 Simplifying a = 5
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