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Simplifying 2(9a + 6) = -3(a + 17) Reorder the terms: 2(6 + 9a) = -3(a + 17) (6 * 2 + 9a * 2) = -3(a + 17) (12 + 18a) = -3(a + 17) Reorder the terms: 12 + 18a = -3(17 + a) 12 + 18a = (17 * -3 + a * -3) 12 + 18a = (-51 + -3a) Solving 12 + 18a = -51 + -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. 12 + 18a + 3a = -51 + -3a + 3a Combine like terms: 18a + 3a = 21a 12 + 21a = -51 + -3a + 3a Combine like terms: -3a + 3a = 0 12 + 21a = -51 + 0 12 + 21a = -51 Add '-12' to each side of the equation. 12 + -12 + 21a = -51 + -12 Combine like terms: 12 + -12 = 0 0 + 21a = -51 + -12 21a = -51 + -12 Combine like terms: -51 + -12 = -63 21a = -63 Divide each side by '21'. a = -3 Simplifying a = -3
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