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Simplifying 3(2a + 1) = 8a + -5 Reorder the terms: 3(1 + 2a) = 8a + -5 (1 * 3 + 2a * 3) = 8a + -5 (3 + 6a) = 8a + -5 Reorder the terms: 3 + 6a = -5 + 8a Solving 3 + 6a = -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. 3 + 6a + -8a = -5 + 8a + -8a Combine like terms: 6a + -8a = -2a 3 + -2a = -5 + 8a + -8a Combine like terms: 8a + -8a = 0 3 + -2a = -5 + 0 3 + -2a = -5 Add '-3' to each side of the equation. 3 + -3 + -2a = -5 + -3 Combine like terms: 3 + -3 = 0 0 + -2a = -5 + -3 -2a = -5 + -3 Combine like terms: -5 + -3 = -8 -2a = -8 Divide each side by '-2'. a = 4 Simplifying a = 4
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