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