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Simplifying -3(2a + -12) = 3a + -45 Reorder the terms: -3(-12 + 2a) = 3a + -45 (-12 * -3 + 2a * -3) = 3a + -45 (36 + -6a) = 3a + -45 Reorder the terms: 36 + -6a = -45 + 3a Solving 36 + -6a = -45 + 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. 36 + -6a + -3a = -45 + 3a + -3a Combine like terms: -6a + -3a = -9a 36 + -9a = -45 + 3a + -3a Combine like terms: 3a + -3a = 0 36 + -9a = -45 + 0 36 + -9a = -45 Add '-36' to each side of the equation. 36 + -36 + -9a = -45 + -36 Combine like terms: 36 + -36 = 0 0 + -9a = -45 + -36 -9a = -45 + -36 Combine like terms: -45 + -36 = -81 -9a = -81 Divide each side by '-9'. a = 9 Simplifying a = 9
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