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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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