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Simplifying -2(3a + 1) + -1(a + -5) = -7 Reorder the terms: -2(1 + 3a) + -1(a + -5) = -7 (1 * -2 + 3a * -2) + -1(a + -5) = -7 (-2 + -6a) + -1(a + -5) = -7 Reorder the terms: -2 + -6a + -1(-5 + a) = -7 -2 + -6a + (-5 * -1 + a * -1) = -7 -2 + -6a + (5 + -1a) = -7 Reorder the terms: -2 + 5 + -6a + -1a = -7 Combine like terms: -2 + 5 = 3 3 + -6a + -1a = -7 Combine like terms: -6a + -1a = -7a 3 + -7a = -7 Solving 3 + -7a = -7 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + -7a = -7 + -3 Combine like terms: 3 + -3 = 0 0 + -7a = -7 + -3 -7a = -7 + -3 Combine like terms: -7 + -3 = -10 -7a = -10 Divide each side by '-7'. a = 1.428571429 Simplifying a = 1.428571429
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