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Simplifying 7(a + 1) = 4a + 13 Reorder the terms: 7(1 + a) = 4a + 13 (1 * 7 + a * 7) = 4a + 13 (7 + 7a) = 4a + 13 Reorder the terms: 7 + 7a = 13 + 4a Solving 7 + 7a = 13 + 4a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-4a' to each side of the equation. 7 + 7a + -4a = 13 + 4a + -4a Combine like terms: 7a + -4a = 3a 7 + 3a = 13 + 4a + -4a Combine like terms: 4a + -4a = 0 7 + 3a = 13 + 0 7 + 3a = 13 Add '-7' to each side of the equation. 7 + -7 + 3a = 13 + -7 Combine like terms: 7 + -7 = 0 0 + 3a = 13 + -7 3a = 13 + -7 Combine like terms: 13 + -7 = 6 3a = 6 Divide each side by '3'. a = 2 Simplifying a = 2
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