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Simplifying 2a + (5a + -13) = 47 + -1(2a + -3) Reorder the terms: 2a + (-13 + 5a) = 47 + -1(2a + -3) Remove parenthesis around (-13 + 5a) 2a + -13 + 5a = 47 + -1(2a + -3) Reorder the terms: -13 + 2a + 5a = 47 + -1(2a + -3) Combine like terms: 2a + 5a = 7a -13 + 7a = 47 + -1(2a + -3) Reorder the terms: -13 + 7a = 47 + -1(-3 + 2a) -13 + 7a = 47 + (-3 * -1 + 2a * -1) -13 + 7a = 47 + (3 + -2a) Combine like terms: 47 + 3 = 50 -13 + 7a = 50 + -2a Solving -13 + 7a = 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 + 7a + 2a = 50 + -2a + 2a Combine like terms: 7a + 2a = 9a -13 + 9a = 50 + -2a + 2a Combine like terms: -2a + 2a = 0 -13 + 9a = 50 + 0 -13 + 9a = 50 Add '13' to each side of the equation. -13 + 13 + 9a = 50 + 13 Combine like terms: -13 + 13 = 0 0 + 9a = 50 + 13 9a = 50 + 13 Combine like terms: 50 + 13 = 63 9a = 63 Divide each side by '9'. a = 7 Simplifying a = 7
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