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Simplifying (3a + -7) + -1(-6a + 7) = 0 Reorder the terms: (-7 + 3a) + -1(-6a + 7) = 0 Remove parenthesis around (-7 + 3a) -7 + 3a + -1(-6a + 7) = 0 Reorder the terms: -7 + 3a + -1(7 + -6a) = 0 -7 + 3a + (7 * -1 + -6a * -1) = 0 -7 + 3a + (-7 + 6a) = 0 Reorder the terms: -7 + -7 + 3a + 6a = 0 Combine like terms: -7 + -7 = -14 -14 + 3a + 6a = 0 Combine like terms: 3a + 6a = 9a -14 + 9a = 0 Solving -14 + 9a = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '14' to each side of the equation. -14 + 14 + 9a = 0 + 14 Combine like terms: -14 + 14 = 0 0 + 9a = 0 + 14 9a = 0 + 14 Combine like terms: 0 + 14 = 14 9a = 14 Divide each side by '9'. a = 1.555555556 Simplifying a = 1.555555556
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