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Simplifying 6 + a = 6(1 + 7a) 6 + a = (1 * 6 + 7a * 6) 6 + a = (6 + 42a) Add '-6' to each side of the equation. 6 + -6 + a = 6 + -6 + 42a Combine like terms: 6 + -6 = 0 0 + a = 6 + -6 + 42a a = 6 + -6 + 42a Combine like terms: 6 + -6 = 0 a = 0 + 42a a = 42a Solving a = 42a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-42a' to each side of the equation. a + -42a = 42a + -42a Combine like terms: a + -42a = -41a -41a = 42a + -42a Combine like terms: 42a + -42a = 0 -41a = 0 Divide each side by '-41'. a = 0 Simplifying a = 0
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