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Simplifying 4a + 7(a + -4) + 6(a + 8) = 9 Reorder the terms: 4a + 7(-4 + a) + 6(a + 8) = 9 4a + (-4 * 7 + a * 7) + 6(a + 8) = 9 4a + (-28 + 7a) + 6(a + 8) = 9 Reorder the terms: 4a + -28 + 7a + 6(8 + a) = 9 4a + -28 + 7a + (8 * 6 + a * 6) = 9 4a + -28 + 7a + (48 + 6a) = 9 Reorder the terms: -28 + 48 + 4a + 7a + 6a = 9 Combine like terms: -28 + 48 = 20 20 + 4a + 7a + 6a = 9 Combine like terms: 4a + 7a = 11a 20 + 11a + 6a = 9 Combine like terms: 11a + 6a = 17a 20 + 17a = 9 Solving 20 + 17a = 9 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-20' to each side of the equation. 20 + -20 + 17a = 9 + -20 Combine like terms: 20 + -20 = 0 0 + 17a = 9 + -20 17a = 9 + -20 Combine like terms: 9 + -20 = -11 17a = -11 Divide each side by '17'. a = -0.6470588235 Simplifying a = -0.6470588235
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