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Simplifying 3(a + 5) + -3 = 8a + 2 Reorder the terms: 3(5 + a) + -3 = 8a + 2 (5 * 3 + a * 3) + -3 = 8a + 2 (15 + 3a) + -3 = 8a + 2 Reorder the terms: 15 + -3 + 3a = 8a + 2 Combine like terms: 15 + -3 = 12 12 + 3a = 8a + 2 Reorder the terms: 12 + 3a = 2 + 8a Solving 12 + 3a = 2 + 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. 12 + 3a + -8a = 2 + 8a + -8a Combine like terms: 3a + -8a = -5a 12 + -5a = 2 + 8a + -8a Combine like terms: 8a + -8a = 0 12 + -5a = 2 + 0 12 + -5a = 2 Add '-12' to each side of the equation. 12 + -12 + -5a = 2 + -12 Combine like terms: 12 + -12 = 0 0 + -5a = 2 + -12 -5a = 2 + -12 Combine like terms: 2 + -12 = -10 -5a = -10 Divide each side by '-5'. a = 2 Simplifying a = 2
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