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Simplifying 6(6a + 5) = -36 + 3a Reorder the terms: 6(5 + 6a) = -36 + 3a (5 * 6 + 6a * 6) = -36 + 3a (30 + 36a) = -36 + 3a Solving 30 + 36a = -36 + 3a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-3a' to each side of the equation. 30 + 36a + -3a = -36 + 3a + -3a Combine like terms: 36a + -3a = 33a 30 + 33a = -36 + 3a + -3a Combine like terms: 3a + -3a = 0 30 + 33a = -36 + 0 30 + 33a = -36 Add '-30' to each side of the equation. 30 + -30 + 33a = -36 + -30 Combine like terms: 30 + -30 = 0 0 + 33a = -36 + -30 33a = -36 + -30 Combine like terms: -36 + -30 = -66 33a = -66 Divide each side by '33'. a = -2 Simplifying a = -2
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