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Simplifying 5(a + 1) = 2a + 14 Reorder the terms: 5(1 + a) = 2a + 14 (1 * 5 + a * 5) = 2a + 14 (5 + 5a) = 2a + 14 Reorder the terms: 5 + 5a = 14 + 2a Solving 5 + 5a = 14 + 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. 5 + 5a + -2a = 14 + 2a + -2a Combine like terms: 5a + -2a = 3a 5 + 3a = 14 + 2a + -2a Combine like terms: 2a + -2a = 0 5 + 3a = 14 + 0 5 + 3a = 14 Add '-5' to each side of the equation. 5 + -5 + 3a = 14 + -5 Combine like terms: 5 + -5 = 0 0 + 3a = 14 + -5 3a = 14 + -5 Combine like terms: 14 + -5 = 9 3a = 9 Divide each side by '3'. a = 3 Simplifying a = 3
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