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Simplifying (8a + -6b + -3) + -1(3m + -2n) + -8 = 0 Reorder the terms: (-3 + 8a + -6b) + -1(3m + -2n) + -8 = 0 Remove parenthesis around (-3 + 8a + -6b) -3 + 8a + -6b + -1(3m + -2n) + -8 = 0 -3 + 8a + -6b + (3m * -1 + -2n * -1) + -8 = 0 -3 + 8a + -6b + (-3m + 2n) + -8 = 0 Reorder the terms: -3 + -8 + 8a + -6b + -3m + 2n = 0 Combine like terms: -3 + -8 = -11 -11 + 8a + -6b + -3m + 2n = 0 Solving -11 + 8a + -6b + -3m + 2n = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '11' to each side of the equation. -11 + 8a + -6b + -3m + 11 + 2n = 0 + 11 Reorder the terms: -11 + 11 + 8a + -6b + -3m + 2n = 0 + 11 Combine like terms: -11 + 11 = 0 0 + 8a + -6b + -3m + 2n = 0 + 11 8a + -6b + -3m + 2n = 0 + 11 Combine like terms: 0 + 11 = 11 8a + -6b + -3m + 2n = 11 Add '6b' to each side of the equation. 8a + -6b + -3m + 6b + 2n = 11 + 6b Reorder the terms: 8a + -6b + 6b + -3m + 2n = 11 + 6b Combine like terms: -6b + 6b = 0 8a + 0 + -3m + 2n = 11 + 6b 8a + -3m + 2n = 11 + 6b Add '3m' to each side of the equation. 8a + -3m + 3m + 2n = 11 + 6b + 3m Combine like terms: -3m + 3m = 0 8a + 0 + 2n = 11 + 6b + 3m 8a + 2n = 11 + 6b + 3m Add '-2n' to each side of the equation. 8a + 2n + -2n = 11 + 6b + 3m + -2n Combine like terms: 2n + -2n = 0 8a + 0 = 11 + 6b + 3m + -2n 8a = 11 + 6b + 3m + -2n Divide each side by '8'. a = 1.375 + 0.75b + 0.375m + -0.25n Simplifying a = 1.375 + 0.75b + 0.375m + -0.25n
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