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Simplifying 5a + -1(6a + 5) = 7(3a + -2) Reorder the terms: 5a + -1(5 + 6a) = 7(3a + -2) 5a + (5 * -1 + 6a * -1) = 7(3a + -2) 5a + (-5 + -6a) = 7(3a + -2) Reorder the terms: -5 + 5a + -6a = 7(3a + -2) Combine like terms: 5a + -6a = -1a -5 + -1a = 7(3a + -2) Reorder the terms: -5 + -1a = 7(-2 + 3a) -5 + -1a = (-2 * 7 + 3a * 7) -5 + -1a = (-14 + 21a) Solving -5 + -1a = -14 + 21a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-21a' to each side of the equation. -5 + -1a + -21a = -14 + 21a + -21a Combine like terms: -1a + -21a = -22a -5 + -22a = -14 + 21a + -21a Combine like terms: 21a + -21a = 0 -5 + -22a = -14 + 0 -5 + -22a = -14 Add '5' to each side of the equation. -5 + 5 + -22a = -14 + 5 Combine like terms: -5 + 5 = 0 0 + -22a = -14 + 5 -22a = -14 + 5 Combine like terms: -14 + 5 = -9 -22a = -9 Divide each side by '-22'. a = 0.4090909091 Simplifying a = 0.4090909091
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