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Simplifying 11a + -1(7a + -5) = a + -10 Reorder the terms: 11a + -1(-5 + 7a) = a + -10 11a + (-5 * -1 + 7a * -1) = a + -10 11a + (5 + -7a) = a + -10 Reorder the terms: 5 + 11a + -7a = a + -10 Combine like terms: 11a + -7a = 4a 5 + 4a = a + -10 Reorder the terms: 5 + 4a = -10 + a Solving 5 + 4a = -10 + 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. 5 + 4a + -1a = -10 + a + -1a Combine like terms: 4a + -1a = 3a 5 + 3a = -10 + a + -1a Combine like terms: a + -1a = 0 5 + 3a = -10 + 0 5 + 3a = -10 Add '-5' to each side of the equation. 5 + -5 + 3a = -10 + -5 Combine like terms: 5 + -5 = 0 0 + 3a = -10 + -5 3a = -10 + -5 Combine like terms: -10 + -5 = -15 3a = -15 Divide each side by '3'. a = -5 Simplifying a = -5
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