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Simplifying 6(a + 2) * 3 = 9a + -15 Reorder the terms: 6(2 + a) * 3 = 9a + -15 Reorder the terms for easier multiplication: 6 * 3(2 + a) = 9a + -15 Multiply 6 * 3 18(2 + a) = 9a + -15 (2 * 18 + a * 18) = 9a + -15 (36 + 18a) = 9a + -15 Reorder the terms: 36 + 18a = -15 + 9a Solving 36 + 18a = -15 + 9a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-9a' to each side of the equation. 36 + 18a + -9a = -15 + 9a + -9a Combine like terms: 18a + -9a = 9a 36 + 9a = -15 + 9a + -9a Combine like terms: 9a + -9a = 0 36 + 9a = -15 + 0 36 + 9a = -15 Add '-36' to each side of the equation. 36 + -36 + 9a = -15 + -36 Combine like terms: 36 + -36 = 0 0 + 9a = -15 + -36 9a = -15 + -36 Combine like terms: -15 + -36 = -51 9a = -51 Divide each side by '9'. a = -5.666666667 Simplifying a = -5.666666667
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