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Simplifying 5a + 9 + -1(2a + -3) = 4(a + -6) + 5a + -1 Reorder the terms: 5a + 9 + -1(-3 + 2a) = 4(a + -6) + 5a + -1 5a + 9 + (-3 * -1 + 2a * -1) = 4(a + -6) + 5a + -1 5a + 9 + (3 + -2a) = 4(a + -6) + 5a + -1 Reorder the terms: 9 + 3 + 5a + -2a = 4(a + -6) + 5a + -1 Combine like terms: 9 + 3 = 12 12 + 5a + -2a = 4(a + -6) + 5a + -1 Combine like terms: 5a + -2a = 3a 12 + 3a = 4(a + -6) + 5a + -1 Reorder the terms: 12 + 3a = 4(-6 + a) + 5a + -1 12 + 3a = (-6 * 4 + a * 4) + 5a + -1 12 + 3a = (-24 + 4a) + 5a + -1 Reorder the terms: 12 + 3a = -24 + -1 + 4a + 5a Combine like terms: -24 + -1 = -25 12 + 3a = -25 + 4a + 5a Combine like terms: 4a + 5a = 9a 12 + 3a = -25 + 9a Solving 12 + 3a = -25 + 9a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-9a' to each side of the equation. 12 + 3a + -9a = -25 + 9a + -9a Combine like terms: 3a + -9a = -6a 12 + -6a = -25 + 9a + -9a Combine like terms: 9a + -9a = 0 12 + -6a = -25 + 0 12 + -6a = -25 Add '-12' to each side of the equation. 12 + -12 + -6a = -25 + -12 Combine like terms: 12 + -12 = 0 0 + -6a = -25 + -12 -6a = -25 + -12 Combine like terms: -25 + -12 = -37 -6a = -37 Divide each side by '-6'. a = 6.166666667 Simplifying a = 6.166666667
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