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Simplifying 5a + (-12 + -9a) = (7a + 3) Remove parenthesis around (-12 + -9a) 5a + -12 + -9a = (7a + 3) Reorder the terms: -12 + 5a + -9a = (7a + 3) Combine like terms: 5a + -9a = -4a -12 + -4a = (7a + 3) Reorder the terms: -12 + -4a = (3 + 7a) Remove parenthesis around (3 + 7a) -12 + -4a = 3 + 7a Solving -12 + -4a = 3 + 7a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-7a' to each side of the equation. -12 + -4a + -7a = 3 + 7a + -7a Combine like terms: -4a + -7a = -11a -12 + -11a = 3 + 7a + -7a Combine like terms: 7a + -7a = 0 -12 + -11a = 3 + 0 -12 + -11a = 3 Add '12' to each side of the equation. -12 + 12 + -11a = 3 + 12 Combine like terms: -12 + 12 = 0 0 + -11a = 3 + 12 -11a = 3 + 12 Combine like terms: 3 + 12 = 15 -11a = 15 Divide each side by '-11'. a = -1.363636364 Simplifying a = -1.363636364
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