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Simplifying 9 + -4(2a + -7) = 3(a + 6) Reorder the terms: 9 + -4(-7 + 2a) = 3(a + 6) 9 + (-7 * -4 + 2a * -4) = 3(a + 6) 9 + (28 + -8a) = 3(a + 6) Combine like terms: 9 + 28 = 37 37 + -8a = 3(a + 6) Reorder the terms: 37 + -8a = 3(6 + a) 37 + -8a = (6 * 3 + a * 3) 37 + -8a = (18 + 3a) Solving 37 + -8a = 18 + 3a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-3a' to each side of the equation. 37 + -8a + -3a = 18 + 3a + -3a Combine like terms: -8a + -3a = -11a 37 + -11a = 18 + 3a + -3a Combine like terms: 3a + -3a = 0 37 + -11a = 18 + 0 37 + -11a = 18 Add '-37' to each side of the equation. 37 + -37 + -11a = 18 + -37 Combine like terms: 37 + -37 = 0 0 + -11a = 18 + -37 -11a = 18 + -37 Combine like terms: 18 + -37 = -19 -11a = -19 Divide each side by '-11'. a = 1.727272727 Simplifying a = 1.727272727
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