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Simplifying -3(2a + -12) + 48 = 3a + -3 Reorder the terms: -3(-12 + 2a) + 48 = 3a + -3 (-12 * -3 + 2a * -3) + 48 = 3a + -3 (36 + -6a) + 48 = 3a + -3 Reorder the terms: 36 + 48 + -6a = 3a + -3 Combine like terms: 36 + 48 = 84 84 + -6a = 3a + -3 Reorder the terms: 84 + -6a = -3 + 3a Solving 84 + -6a = -3 + 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 + -6a + -3a = -3 + 3a + -3a Combine like terms: -6a + -3a = -9a 84 + -9a = -3 + 3a + -3a Combine like terms: 3a + -3a = 0 84 + -9a = -3 + 0 84 + -9a = -3 Add '-84' to each side of the equation. 84 + -84 + -9a = -3 + -84 Combine like terms: 84 + -84 = 0 0 + -9a = -3 + -84 -9a = -3 + -84 Combine like terms: -3 + -84 = -87 -9a = -87 Divide each side by '-9'. a = 9.666666667 Simplifying a = 9.666666667
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