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Simplifying (5s2 + -3s) + -1(2s2 + -7a) + (5s2 + -6) = 0 Reorder the terms: (-3s + 5s2) + -1(2s2 + -7a) + (5s2 + -6) = 0 Remove parenthesis around (-3s + 5s2) -3s + 5s2 + -1(2s2 + -7a) + (5s2 + -6) = 0 Reorder the terms: -3s + 5s2 + -1(-7a + 2s2) + (5s2 + -6) = 0 -3s + 5s2 + (-7a * -1 + 2s2 * -1) + (5s2 + -6) = 0 -3s + 5s2 + (7a + -2s2) + (5s2 + -6) = 0 Reorder the terms: -3s + 5s2 + 7a + -2s2 + (-6 + 5s2) = 0 Remove parenthesis around (-6 + 5s2) -3s + 5s2 + 7a + -2s2 + -6 + 5s2 = 0 Reorder the terms: -6 + 7a + -3s + 5s2 + -2s2 + 5s2 = 0 Combine like terms: 5s2 + -2s2 = 3s2 -6 + 7a + -3s + 3s2 + 5s2 = 0 Combine like terms: 3s2 + 5s2 = 8s2 -6 + 7a + -3s + 8s2 = 0 Solving -6 + 7a + -3s + 8s2 = 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 + 7a + -3s + 6 + 8s2 = 0 + 6 Reorder the terms: -6 + 6 + 7a + -3s + 8s2 = 0 + 6 Combine like terms: -6 + 6 = 0 0 + 7a + -3s + 8s2 = 0 + 6 7a + -3s + 8s2 = 0 + 6 Combine like terms: 0 + 6 = 6 7a + -3s + 8s2 = 6 Add '3s' to each side of the equation. 7a + -3s + 3s + 8s2 = 6 + 3s Combine like terms: -3s + 3s = 0 7a + 0 + 8s2 = 6 + 3s 7a + 8s2 = 6 + 3s Add '-8s2' to each side of the equation. 7a + 8s2 + -8s2 = 6 + 3s + -8s2 Combine like terms: 8s2 + -8s2 = 0 7a + 0 = 6 + 3s + -8s2 7a = 6 + 3s + -8s2 Divide each side by '7'. a = 0.8571428571 + 0.4285714286s + -1.142857143s2 Simplifying a = 0.8571428571 + 0.4285714286s + -1.142857143s2
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