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Simplifying 3(6 + 5a) = 7a + 6 (6 * 3 + 5a * 3) = 7a + 6 (18 + 15a) = 7a + 6 Reorder the terms: 18 + 15a = 6 + 7a Solving 18 + 15a = 6 + 7a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-7a' to each side of the equation. 18 + 15a + -7a = 6 + 7a + -7a Combine like terms: 15a + -7a = 8a 18 + 8a = 6 + 7a + -7a Combine like terms: 7a + -7a = 0 18 + 8a = 6 + 0 18 + 8a = 6 Add '-18' to each side of the equation. 18 + -18 + 8a = 6 + -18 Combine like terms: 18 + -18 = 0 0 + 8a = 6 + -18 8a = 6 + -18 Combine like terms: 6 + -18 = -12 8a = -12 Divide each side by '8'. a = -1.5 Simplifying a = -1.5
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