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Simplifying (a + -1) = 3(5 + 4a) Reorder the terms: (-1 + a) = 3(5 + 4a) Remove parenthesis around (-1 + a) -1 + a = 3(5 + 4a) -1 + a = (5 * 3 + 4a * 3) -1 + a = (15 + 12a) Solving -1 + a = 15 + 12a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-12a' to each side of the equation. -1 + a + -12a = 15 + 12a + -12a Combine like terms: a + -12a = -11a -1 + -11a = 15 + 12a + -12a Combine like terms: 12a + -12a = 0 -1 + -11a = 15 + 0 -1 + -11a = 15 Add '1' to each side of the equation. -1 + 1 + -11a = 15 + 1 Combine like terms: -1 + 1 = 0 0 + -11a = 15 + 1 -11a = 15 + 1 Combine like terms: 15 + 1 = 16 -11a = 16 Divide each side by '-11'. a = -1.454545455 Simplifying a = -1.454545455
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