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Simplifying -11a + -1(4a + -7) + -3(-1a + -1(-2)) = -35 Reorder the terms: -11a + -1(-7 + 4a) + -3(-1a + -1(-2)) = -35 -11a + (-7 * -1 + 4a * -1) + -3(-1a + -1(-2)) = -35 -11a + (7 + -4a) + -3(-1a + -1(-2)) = -35 Multiply -1 * -2 -11a + 7 + -4a + -3(-1a + 2) = -35 Reorder the terms: -11a + 7 + -4a + -3(2 + -1a) = -35 -11a + 7 + -4a + (2 * -3 + -1a * -3) = -35 -11a + 7 + -4a + (-6 + 3a) = -35 Reorder the terms: 7 + -6 + -11a + -4a + 3a = -35 Combine like terms: 7 + -6 = 1 1 + -11a + -4a + 3a = -35 Combine like terms: -11a + -4a = -15a 1 + -15a + 3a = -35 Combine like terms: -15a + 3a = -12a 1 + -12a = -35 Solving 1 + -12a = -35 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 + -12a = -35 + -1 Combine like terms: 1 + -1 = 0 0 + -12a = -35 + -1 -12a = -35 + -1 Combine like terms: -35 + -1 = -36 -12a = -36 Divide each side by '-12'. a = 3 Simplifying a = 3
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