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