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Simplifying 15(a + 2) = 6a + -51 Reorder the terms: 15(2 + a) = 6a + -51 (2 * 15 + a * 15) = 6a + -51 (30 + 15a) = 6a + -51 Reorder the terms: 30 + 15a = -51 + 6a Solving 30 + 15a = -51 + 6a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-6a' to each side of the equation. 30 + 15a + -6a = -51 + 6a + -6a Combine like terms: 15a + -6a = 9a 30 + 9a = -51 + 6a + -6a Combine like terms: 6a + -6a = 0 30 + 9a = -51 + 0 30 + 9a = -51 Add '-30' to each side of the equation. 30 + -30 + 9a = -51 + -30 Combine like terms: 30 + -30 = 0 0 + 9a = -51 + -30 9a = -51 + -30 Combine like terms: -51 + -30 = -81 9a = -81 Divide each side by '9'. a = -9 Simplifying a = -9
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