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Simplifying -6 + -1(3a + -7) + -2a = a + -6 Reorder the terms: -6 + -1(-7 + 3a) + -2a = a + -6 -6 + (-7 * -1 + 3a * -1) + -2a = a + -6 -6 + (7 + -3a) + -2a = a + -6 Combine like terms: -6 + 7 = 1 1 + -3a + -2a = a + -6 Combine like terms: -3a + -2a = -5a 1 + -5a = a + -6 Reorder the terms: 1 + -5a = -6 + a Solving 1 + -5a = -6 + a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-1a' to each side of the equation. 1 + -5a + -1a = -6 + a + -1a Combine like terms: -5a + -1a = -6a 1 + -6a = -6 + a + -1a Combine like terms: a + -1a = 0 1 + -6a = -6 + 0 1 + -6a = -6 Add '-1' to each side of the equation. 1 + -1 + -6a = -6 + -1 Combine like terms: 1 + -1 = 0 0 + -6a = -6 + -1 -6a = -6 + -1 Combine like terms: -6 + -1 = -7 -6a = -7 Divide each side by '-6'. a = 1.166666667 Simplifying a = 1.166666667
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