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Simplifying (5a + 3b + -2) + -1(3a + -2b + 4) = 0 Reorder the terms: (-2 + 5a + 3b) + -1(3a + -2b + 4) = 0 Remove parenthesis around (-2 + 5a + 3b) -2 + 5a + 3b + -1(3a + -2b + 4) = 0 Reorder the terms: -2 + 5a + 3b + -1(4 + 3a + -2b) = 0 -2 + 5a + 3b + (4 * -1 + 3a * -1 + -2b * -1) = 0 -2 + 5a + 3b + (-4 + -3a + 2b) = 0 Reorder the terms: -2 + -4 + 5a + -3a + 3b + 2b = 0 Combine like terms: -2 + -4 = -6 -6 + 5a + -3a + 3b + 2b = 0 Combine like terms: 5a + -3a = 2a -6 + 2a + 3b + 2b = 0 Combine like terms: 3b + 2b = 5b -6 + 2a + 5b = 0 Solving -6 + 2a + 5b = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '6' to each side of the equation. -6 + 2a + 6 + 5b = 0 + 6 Reorder the terms: -6 + 6 + 2a + 5b = 0 + 6 Combine like terms: -6 + 6 = 0 0 + 2a + 5b = 0 + 6 2a + 5b = 0 + 6 Combine like terms: 0 + 6 = 6 2a + 5b = 6 Add '-5b' to each side of the equation. 2a + 5b + -5b = 6 + -5b Combine like terms: 5b + -5b = 0 2a + 0 = 6 + -5b 2a = 6 + -5b Divide each side by '2'. a = 3 + -2.5b Simplifying a = 3 + -2.5b
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