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Simplifying 5(a + 1) + 2a + -8 = 32 Reorder the terms: 5(1 + a) + 2a + -8 = 32 (1 * 5 + a * 5) + 2a + -8 = 32 (5 + 5a) + 2a + -8 = 32 Reorder the terms: 5 + -8 + 5a + 2a = 32 Combine like terms: 5 + -8 = -3 -3 + 5a + 2a = 32 Combine like terms: 5a + 2a = 7a -3 + 7a = 32 Solving -3 + 7a = 32 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '3' to each side of the equation. -3 + 3 + 7a = 32 + 3 Combine like terms: -3 + 3 = 0 0 + 7a = 32 + 3 7a = 32 + 3 Combine like terms: 32 + 3 = 35 7a = 35 Divide each side by '7'. a = 5 Simplifying a = 5
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