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Simplifying 5(7 + -1a) = 3(2a + 6) + -5 (7 * 5 + -1a * 5) = 3(2a + 6) + -5 (35 + -5a) = 3(2a + 6) + -5 Reorder the terms: 35 + -5a = 3(6 + 2a) + -5 35 + -5a = (6 * 3 + 2a * 3) + -5 35 + -5a = (18 + 6a) + -5 Reorder the terms: 35 + -5a = 18 + -5 + 6a Combine like terms: 18 + -5 = 13 35 + -5a = 13 + 6a Solving 35 + -5a = 13 + 6a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-6a' to each side of the equation. 35 + -5a + -6a = 13 + 6a + -6a Combine like terms: -5a + -6a = -11a 35 + -11a = 13 + 6a + -6a Combine like terms: 6a + -6a = 0 35 + -11a = 13 + 0 35 + -11a = 13 Add '-35' to each side of the equation. 35 + -35 + -11a = 13 + -35 Combine like terms: 35 + -35 = 0 0 + -11a = 13 + -35 -11a = 13 + -35 Combine like terms: 13 + -35 = -22 -11a = -22 Divide each side by '-11'. a = 2 Simplifying a = 2
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