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Simplifying 51 = 24a + -3(2a + -5) Reorder the terms: 51 = 24a + -3(-5 + 2a) 51 = 24a + (-5 * -3 + 2a * -3) 51 = 24a + (15 + -6a) Reorder the terms: 51 = 15 + 24a + -6a Combine like terms: 24a + -6a = 18a 51 = 15 + 18a Solving 51 = 15 + 18a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-18a' to each side of the equation. 51 + -18a = 15 + 18a + -18a Combine like terms: 18a + -18a = 0 51 + -18a = 15 + 0 51 + -18a = 15 Add '-51' to each side of the equation. 51 + -51 + -18a = 15 + -51 Combine like terms: 51 + -51 = 0 0 + -18a = 15 + -51 -18a = 15 + -51 Combine like terms: 15 + -51 = -36 -18a = -36 Divide each side by '-18'. a = 2 Simplifying a = 2
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