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Simplifying 2(a + 7) = 5a + -13 Reorder the terms: 2(7 + a) = 5a + -13 (7 * 2 + a * 2) = 5a + -13 (14 + 2a) = 5a + -13 Reorder the terms: 14 + 2a = -13 + 5a Solving 14 + 2a = -13 + 5a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-5a' to each side of the equation. 14 + 2a + -5a = -13 + 5a + -5a Combine like terms: 2a + -5a = -3a 14 + -3a = -13 + 5a + -5a Combine like terms: 5a + -5a = 0 14 + -3a = -13 + 0 14 + -3a = -13 Add '-14' to each side of the equation. 14 + -14 + -3a = -13 + -14 Combine like terms: 14 + -14 = 0 0 + -3a = -13 + -14 -3a = -13 + -14 Combine like terms: -13 + -14 = -27 -3a = -27 Divide each side by '-3'. a = 9 Simplifying a = 9
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