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Simplifying 3(a + 1) + 7a + -8 = 0 Reorder the terms: 3(1 + a) + 7a + -8 = 0 (1 * 3 + a * 3) + 7a + -8 = 0 (3 + 3a) + 7a + -8 = 0 Reorder the terms: 3 + -8 + 3a + 7a = 0 Combine like terms: 3 + -8 = -5 -5 + 3a + 7a = 0 Combine like terms: 3a + 7a = 10a -5 + 10a = 0 Solving -5 + 10a = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '5' to each side of the equation. -5 + 5 + 10a = 0 + 5 Combine like terms: -5 + 5 = 0 0 + 10a = 0 + 5 10a = 0 + 5 Combine like terms: 0 + 5 = 5 10a = 5 Divide each side by '10'. a = 0.5 Simplifying a = 0.5
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