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Simplifying 5(a + -12) + -24 = 3(a + 2) Reorder the terms: 5(-12 + a) + -24 = 3(a + 2) (-12 * 5 + a * 5) + -24 = 3(a + 2) (-60 + 5a) + -24 = 3(a + 2) Reorder the terms: -60 + -24 + 5a = 3(a + 2) Combine like terms: -60 + -24 = -84 -84 + 5a = 3(a + 2) Reorder the terms: -84 + 5a = 3(2 + a) -84 + 5a = (2 * 3 + a * 3) -84 + 5a = (6 + 3a) Solving -84 + 5a = 6 + 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. -84 + 5a + -3a = 6 + 3a + -3a Combine like terms: 5a + -3a = 2a -84 + 2a = 6 + 3a + -3a Combine like terms: 3a + -3a = 0 -84 + 2a = 6 + 0 -84 + 2a = 6 Add '84' to each side of the equation. -84 + 84 + 2a = 6 + 84 Combine like terms: -84 + 84 = 0 0 + 2a = 6 + 84 2a = 6 + 84 Combine like terms: 6 + 84 = 90 2a = 90 Divide each side by '2'. a = 45 Simplifying a = 45
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