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Simplifying 5 + -2(3a + -4) + -1(4 + a) + -1 = 0 Reorder the terms: 5 + -2(-4 + 3a) + -1(4 + a) + -1 = 0 5 + (-4 * -2 + 3a * -2) + -1(4 + a) + -1 = 0 5 + (8 + -6a) + -1(4 + a) + -1 = 0 5 + 8 + -6a + (4 * -1 + a * -1) + -1 = 0 5 + 8 + -6a + (-4 + -1a) + -1 = 0 Reorder the terms: 5 + 8 + -4 + -1 + -6a + -1a = 0 Combine like terms: 5 + 8 = 13 13 + -4 + -1 + -6a + -1a = 0 Combine like terms: 13 + -4 = 9 9 + -1 + -6a + -1a = 0 Combine like terms: 9 + -1 = 8 8 + -6a + -1a = 0 Combine like terms: -6a + -1a = -7a 8 + -7a = 0 Solving 8 + -7a = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + -8 + -7a = 0 + -8 Combine like terms: 8 + -8 = 0 0 + -7a = 0 + -8 -7a = 0 + -8 Combine like terms: 0 + -8 = -8 -7a = -8 Divide each side by '-7'. a = 1.142857143 Simplifying a = 1.142857143
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