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Simplifying (9s + -7) + -3(2a + -1) + -1(3a + -1) * 3 + -2 = 2a + -1 Reorder the terms: (-7 + 9s) + -3(2a + -1) + -1(3a + -1) * 3 + -2 = 2a + -1 Remove parenthesis around (-7 + 9s) -7 + 9s + -3(2a + -1) + -1(3a + -1) * 3 + -2 = 2a + -1 Reorder the terms: -7 + 9s + -3(-1 + 2a) + -1(3a + -1) * 3 + -2 = 2a + -1 -7 + 9s + (-1 * -3 + 2a * -3) + -1(3a + -1) * 3 + -2 = 2a + -1 -7 + 9s + (3 + -6a) + -1(3a + -1) * 3 + -2 = 2a + -1 Reorder the terms: -7 + 9s + 3 + -6a + -1(-1 + 3a) * 3 + -2 = 2a + -1 Reorder the terms for easier multiplication: -7 + 9s + 3 + -6a + -1 * 3(-1 + 3a) + -2 = 2a + -1 Multiply -1 * 3 -7 + 9s + 3 + -6a + -3(-1 + 3a) + -2 = 2a + -1 -7 + 9s + 3 + -6a + (-1 * -3 + 3a * -3) + -2 = 2a + -1 -7 + 9s + 3 + -6a + (3 + -9a) + -2 = 2a + -1 Reorder the terms: -7 + 3 + 3 + -2 + -6a + -9a + 9s = 2a + -1 Combine like terms: -7 + 3 = -4 -4 + 3 + -2 + -6a + -9a + 9s = 2a + -1 Combine like terms: -4 + 3 = -1 -1 + -2 + -6a + -9a + 9s = 2a + -1 Combine like terms: -1 + -2 = -3 -3 + -6a + -9a + 9s = 2a + -1 Combine like terms: -6a + -9a = -15a -3 + -15a + 9s = 2a + -1 Reorder the terms: -3 + -15a + 9s = -1 + 2a Solving -3 + -15a + 9s = -1 + 2a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-2a' to each side of the equation. -3 + -15a + -2a + 9s = -1 + 2a + -2a Combine like terms: -15a + -2a = -17a -3 + -17a + 9s = -1 + 2a + -2a Combine like terms: 2a + -2a = 0 -3 + -17a + 9s = -1 + 0 -3 + -17a + 9s = -1 Add '3' to each side of the equation. -3 + -17a + 3 + 9s = -1 + 3 Reorder the terms: -3 + 3 + -17a + 9s = -1 + 3 Combine like terms: -3 + 3 = 0 0 + -17a + 9s = -1 + 3 -17a + 9s = -1 + 3 Combine like terms: -1 + 3 = 2 -17a + 9s = 2 Add '-9s' to each side of the equation. -17a + 9s + -9s = 2 + -9s Combine like terms: 9s + -9s = 0 -17a + 0 = 2 + -9s -17a = 2 + -9s Divide each side by '-17'. a = -0.1176470588 + 0.5294117647s Simplifying a = -0.1176470588 + 0.5294117647s
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