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Simplifying (5c + -2b + 8a + -7) + -1(5a + 0.75b + -4) = 0 Reorder the terms: (-7 + 8a + -2b + 5c) + -1(5a + 0.75b + -4) = 0 Remove parenthesis around (-7 + 8a + -2b + 5c) -7 + 8a + -2b + 5c + -1(5a + 0.75b + -4) = 0 Reorder the terms: -7 + 8a + -2b + 5c + -1(-4 + 5a + 0.75b) = 0 -7 + 8a + -2b + 5c + (-4 * -1 + 5a * -1 + 0.75b * -1) = 0 -7 + 8a + -2b + 5c + (4 + -5a + -0.75b) = 0 Reorder the terms: -7 + 4 + 8a + -5a + -2b + -0.75b + 5c = 0 Combine like terms: -7 + 4 = -3 -3 + 8a + -5a + -2b + -0.75b + 5c = 0 Combine like terms: 8a + -5a = 3a -3 + 3a + -2b + -0.75b + 5c = 0 Combine like terms: -2b + -0.75b = -2.75b -3 + 3a + -2.75b + 5c = 0 Solving -3 + 3a + -2.75b + 5c = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '3' to each side of the equation. -3 + 3a + -2.75b + 3 + 5c = 0 + 3 Reorder the terms: -3 + 3 + 3a + -2.75b + 5c = 0 + 3 Combine like terms: -3 + 3 = 0 0 + 3a + -2.75b + 5c = 0 + 3 3a + -2.75b + 5c = 0 + 3 Combine like terms: 0 + 3 = 3 3a + -2.75b + 5c = 3 Add '2.75b' to each side of the equation. 3a + -2.75b + 2.75b + 5c = 3 + 2.75b Combine like terms: -2.75b + 2.75b = 0.00 3a + 0.00 + 5c = 3 + 2.75b 3a + 5c = 3 + 2.75b Add '-5c' to each side of the equation. 3a + 5c + -5c = 3 + 2.75b + -5c Combine like terms: 5c + -5c = 0 3a + 0 = 3 + 2.75b + -5c 3a = 3 + 2.75b + -5c Divide each side by '3'. a = 1 + 0.9166666667b + -1.666666667c Simplifying a = 1 + 0.9166666667b + -1.666666667c
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