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Simplifying 7(1 + 6a) = 7 + -6a (1 * 7 + 6a * 7) = 7 + -6a (7 + 42a) = 7 + -6a Add '-7' to each side of the equation. 7 + -7 + 42a = 7 + -7 + -6a Combine like terms: 7 + -7 = 0 0 + 42a = 7 + -7 + -6a 42a = 7 + -7 + -6a Combine like terms: 7 + -7 = 0 42a = 0 + -6a 42a = -6a Solving 42a = -6a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '6a' to each side of the equation. 42a + 6a = -6a + 6a Combine like terms: 42a + 6a = 48a 48a = -6a + 6a Combine like terms: -6a + 6a = 0 48a = 0 Divide each side by '48'. a = 0 Simplifying a = 0
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