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Simplifying 5a + (-12 + -9a) = 3 + -1(7a + 3) Remove parenthesis around (-12 + -9a) 5a + -12 + -9a = 3 + -1(7a + 3) Reorder the terms: -12 + 5a + -9a = 3 + -1(7a + 3) Combine like terms: 5a + -9a = -4a -12 + -4a = 3 + -1(7a + 3) Reorder the terms: -12 + -4a = 3 + -1(3 + 7a) -12 + -4a = 3 + (3 * -1 + 7a * -1) -12 + -4a = 3 + (-3 + -7a) Combine like terms: 3 + -3 = 0 -12 + -4a = 0 + -7a -12 + -4a = -7a Solving -12 + -4a = -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 = -7a + 7a Combine like terms: -4a + 7a = 3a -12 + 3a = -7a + 7a Combine like terms: -7a + 7a = 0 -12 + 3a = 0 Add '12' to each side of the equation. -12 + 12 + 3a = 0 + 12 Combine like terms: -12 + 12 = 0 0 + 3a = 0 + 12 3a = 0 + 12 Combine like terms: 0 + 12 = 12 3a = 12 Divide each side by '3'. a = 4 Simplifying a = 4
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