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Simplifying -3(3a + 2) = -1(7 + -9a) + -4a Reorder the terms: -3(2 + 3a) = -1(7 + -9a) + -4a (2 * -3 + 3a * -3) = -1(7 + -9a) + -4a (-6 + -9a) = -1(7 + -9a) + -4a -6 + -9a = (7 * -1 + -9a * -1) + -4a -6 + -9a = (-7 + 9a) + -4a Combine like terms: 9a + -4a = 5a -6 + -9a = -7 + 5a Solving -6 + -9a = -7 + 5a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-5a' to each side of the equation. -6 + -9a + -5a = -7 + 5a + -5a Combine like terms: -9a + -5a = -14a -6 + -14a = -7 + 5a + -5a Combine like terms: 5a + -5a = 0 -6 + -14a = -7 + 0 -6 + -14a = -7 Add '6' to each side of the equation. -6 + 6 + -14a = -7 + 6 Combine like terms: -6 + 6 = 0 0 + -14a = -7 + 6 -14a = -7 + 6 Combine like terms: -7 + 6 = -1 -14a = -1 Divide each side by '-14'. a = 0.07142857143 Simplifying a = 0.07142857143
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