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Simplifying -1 + 7(a + 7) = 83 Reorder the terms: -1 + 7(7 + a) = 83 -1 + (7 * 7 + a * 7) = 83 -1 + (49 + 7a) = 83 Combine like terms: -1 + 49 = 48 48 + 7a = 83 Solving 48 + 7a = 83 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-48' to each side of the equation. 48 + -48 + 7a = 83 + -48 Combine like terms: 48 + -48 = 0 0 + 7a = 83 + -48 7a = 83 + -48 Combine like terms: 83 + -48 = 35 7a = 35 Divide each side by '7'. a = 5 Simplifying a = 5
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