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Simplifying 12a + (5a + -13) = 47 + -1(2a + -3) Reorder the terms: 12a + (-13 + 5a) = 47 + -1(2a + -3) Remove parenthesis around (-13 + 5a) 12a + -13 + 5a = 47 + -1(2a + -3) Reorder the terms: -13 + 12a + 5a = 47 + -1(2a + -3) Combine like terms: 12a + 5a = 17a -13 + 17a = 47 + -1(2a + -3) Reorder the terms: -13 + 17a = 47 + -1(-3 + 2a) -13 + 17a = 47 + (-3 * -1 + 2a * -1) -13 + 17a = 47 + (3 + -2a) Combine like terms: 47 + 3 = 50 -13 + 17a = 50 + -2a Solving -13 + 17a = 50 + -2a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '2a' to each side of the equation. -13 + 17a + 2a = 50 + -2a + 2a Combine like terms: 17a + 2a = 19a -13 + 19a = 50 + -2a + 2a Combine like terms: -2a + 2a = 0 -13 + 19a = 50 + 0 -13 + 19a = 50 Add '13' to each side of the equation. -13 + 13 + 19a = 50 + 13 Combine like terms: -13 + 13 = 0 0 + 19a = 50 + 13 19a = 50 + 13 Combine like terms: 50 + 13 = 63 19a = 63 Divide each side by '19'. a = 3.315789474 Simplifying a = 3.315789474
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