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Simplifying 7 = -5(2a + -1) + -1(-11a + 6) Reorder the terms: 7 = -5(-1 + 2a) + -1(-11a + 6) 7 = (-1 * -5 + 2a * -5) + -1(-11a + 6) 7 = (5 + -10a) + -1(-11a + 6) Reorder the terms: 7 = 5 + -10a + -1(6 + -11a) 7 = 5 + -10a + (6 * -1 + -11a * -1) 7 = 5 + -10a + (-6 + 11a) Reorder the terms: 7 = 5 + -6 + -10a + 11a Combine like terms: 5 + -6 = -1 7 = -1 + -10a + 11a Combine like terms: -10a + 11a = 1a 7 = -1 + 1a Solving 7 = -1 + 1a 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. 7 + -1a = -1 + 1a + -1a Combine like terms: 1a + -1a = 0 7 + -1a = -1 + 0 7 + -1a = -1 Add '-7' to each side of the equation. 7 + -7 + -1a = -1 + -7 Combine like terms: 7 + -7 = 0 0 + -1a = -1 + -7 -1a = -1 + -7 Combine like terms: -1 + -7 = -8 -1a = -8 Divide each side by '-1'. a = 8 Simplifying a = 8
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