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