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Simplifying 7(2a + 1) = 5a + -7 Reorder the terms: 7(1 + 2a) = 5a + -7 (1 * 7 + 2a * 7) = 5a + -7 (7 + 14a) = 5a + -7 Reorder the terms: 7 + 14a = -7 + 5a Solving 7 + 14a = -7 + 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. 7 + 14a + -5a = -7 + 5a + -5a Combine like terms: 14a + -5a = 9a 7 + 9a = -7 + 5a + -5a Combine like terms: 5a + -5a = 0 7 + 9a = -7 + 0 7 + 9a = -7 Add '-7' to each side of the equation. 7 + -7 + 9a = -7 + -7 Combine like terms: 7 + -7 = 0 0 + 9a = -7 + -7 9a = -7 + -7 Combine like terms: -7 + -7 = -14 9a = -14 Divide each side by '9'. a = -1.555555556 Simplifying a = -1.555555556
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