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Simplifying (5a + 6) + -4(a + -7) = 0 Reorder the terms: (6 + 5a) + -4(a + -7) = 0 Remove parenthesis around (6 + 5a) 6 + 5a + -4(a + -7) = 0 Reorder the terms: 6 + 5a + -4(-7 + a) = 0 6 + 5a + (-7 * -4 + a * -4) = 0 6 + 5a + (28 + -4a) = 0 Reorder the terms: 6 + 28 + 5a + -4a = 0 Combine like terms: 6 + 28 = 34 34 + 5a + -4a = 0 Combine like terms: 5a + -4a = 1a 34 + 1a = 0 Solving 34 + 1a = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-34' to each side of the equation. 34 + -34 + 1a = 0 + -34 Combine like terms: 34 + -34 = 0 0 + 1a = 0 + -34 1a = 0 + -34 Combine like terms: 0 + -34 = -34 1a = -34 Divide each side by '1'. a = -34 Simplifying a = -34
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