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Simplifying 7(a + 1) = 35 Reorder the terms: 7(1 + a) = 35 (1 * 7 + a * 7) = 35 (7 + 7a) = 35 Solving 7 + 7a = 35 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + -7 + 7a = 35 + -7 Combine like terms: 7 + -7 = 0 0 + 7a = 35 + -7 7a = 35 + -7 Combine like terms: 35 + -7 = 28 7a = 28 Divide each side by '7'. a = 4 Simplifying a = 4
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