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Simplifying 3(a + 4) + -2 = 8a + 5 Reorder the terms: 3(4 + a) + -2 = 8a + 5 (4 * 3 + a * 3) + -2 = 8a + 5 (12 + 3a) + -2 = 8a + 5 Reorder the terms: 12 + -2 + 3a = 8a + 5 Combine like terms: 12 + -2 = 10 10 + 3a = 8a + 5 Reorder the terms: 10 + 3a = 5 + 8a Solving 10 + 3a = 5 + 8a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-8a' to each side of the equation. 10 + 3a + -8a = 5 + 8a + -8a Combine like terms: 3a + -8a = -5a 10 + -5a = 5 + 8a + -8a Combine like terms: 8a + -8a = 0 10 + -5a = 5 + 0 10 + -5a = 5 Add '-10' to each side of the equation. 10 + -10 + -5a = 5 + -10 Combine like terms: 10 + -10 = 0 0 + -5a = 5 + -10 -5a = 5 + -10 Combine like terms: 5 + -10 = -5 -5a = -5 Divide each side by '-5'. a = 1 Simplifying a = 1
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