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Simplifying a + 42 = 8a Reorder the terms: 42 + a = 8a Solving 42 + a = 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. 42 + a + -8a = 8a + -8a Combine like terms: a + -8a = -7a 42 + -7a = 8a + -8a Combine like terms: 8a + -8a = 0 42 + -7a = 0 Add '-42' to each side of the equation. 42 + -42 + -7a = 0 + -42 Combine like terms: 42 + -42 = 0 0 + -7a = 0 + -42 -7a = 0 + -42 Combine like terms: 0 + -42 = -42 -7a = -42 Divide each side by '-7'. a = 6 Simplifying a = 6
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