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Simplifying a + 6(7 + -1a) = 0 a + (7 * 6 + -1a * 6) = 0 a + (42 + -6a) = 0 Reorder the terms: 42 + a + -6a = 0 Combine like terms: a + -6a = -5a 42 + -5a = 0 Solving 42 + -5a = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-42' to each side of the equation. 42 + -42 + -5a = 0 + -42 Combine like terms: 42 + -42 = 0 0 + -5a = 0 + -42 -5a = 0 + -42 Combine like terms: 0 + -42 = -42 -5a = -42 Divide each side by '-5'. a = 8.4 Simplifying a = 8.4
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