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Simplifying -7a + (2a + -5) + -1(3a + -6) = 0 Reorder the terms: -7a + (-5 + 2a) + -1(3a + -6) = 0 Remove parenthesis around (-5 + 2a) -7a + -5 + 2a + -1(3a + -6) = 0 Reorder the terms: -7a + -5 + 2a + -1(-6 + 3a) = 0 -7a + -5 + 2a + (-6 * -1 + 3a * -1) = 0 -7a + -5 + 2a + (6 + -3a) = 0 Reorder the terms: -5 + 6 + -7a + 2a + -3a = 0 Combine like terms: -5 + 6 = 1 1 + -7a + 2a + -3a = 0 Combine like terms: -7a + 2a = -5a 1 + -5a + -3a = 0 Combine like terms: -5a + -3a = -8a 1 + -8a = 0 Solving 1 + -8a = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + -8a = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -8a = 0 + -1 -8a = 0 + -1 Combine like terms: 0 + -1 = -1 -8a = -1 Divide each side by '-8'. a = 0.125 Simplifying a = 0.125
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