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Simplifying (3 + -1r) + (4r + -3s + 2) + -1(1 + -1a) = 0 Remove parenthesis around (3 + -1r) 3 + -1r + (4r + -3s + 2) + -1(1 + -1a) = 0 Reorder the terms: 3 + -1r + (2 + 4r + -3s) + -1(1 + -1a) = 0 Remove parenthesis around (2 + 4r + -3s) 3 + -1r + 2 + 4r + -3s + -1(1 + -1a) = 0 3 + -1r + 2 + 4r + -3s + (1 * -1 + -1a * -1) = 0 3 + -1r + 2 + 4r + -3s + (-1 + 1a) = 0 Reorder the terms: 3 + 2 + -1 + 1a + -1r + 4r + -3s = 0 Combine like terms: 3 + 2 = 5 5 + -1 + 1a + -1r + 4r + -3s = 0 Combine like terms: 5 + -1 = 4 4 + 1a + -1r + 4r + -3s = 0 Combine like terms: -1r + 4r = 3r 4 + 1a + 3r + -3s = 0 Solving 4 + 1a + 3r + -3s = 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 + 1a + 3r + -4 + -3s = 0 + -4 Reorder the terms: 4 + -4 + 1a + 3r + -3s = 0 + -4 Combine like terms: 4 + -4 = 0 0 + 1a + 3r + -3s = 0 + -4 1a + 3r + -3s = 0 + -4 Combine like terms: 0 + -4 = -4 1a + 3r + -3s = -4 Add '-3r' to each side of the equation. 1a + 3r + -3r + -3s = -4 + -3r Combine like terms: 3r + -3r = 0 1a + 0 + -3s = -4 + -3r 1a + -3s = -4 + -3r Add '3s' to each side of the equation. 1a + -3s + 3s = -4 + -3r + 3s Combine like terms: -3s + 3s = 0 1a + 0 = -4 + -3r + 3s 1a = -4 + -3r + 3s Divide each side by '1'. a = -4 + -3r + 3s Simplifying a = -4 + -3r + 3s
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