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Simplifying 4(3a + -1) + -5(1 + -1a) = 8 Reorder the terms: 4(-1 + 3a) + -5(1 + -1a) = 8 (-1 * 4 + 3a * 4) + -5(1 + -1a) = 8 (-4 + 12a) + -5(1 + -1a) = 8 -4 + 12a + (1 * -5 + -1a * -5) = 8 -4 + 12a + (-5 + 5a) = 8 Reorder the terms: -4 + -5 + 12a + 5a = 8 Combine like terms: -4 + -5 = -9 -9 + 12a + 5a = 8 Combine like terms: 12a + 5a = 17a -9 + 17a = 8 Solving -9 + 17a = 8 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '9' to each side of the equation. -9 + 9 + 17a = 8 + 9 Combine like terms: -9 + 9 = 0 0 + 17a = 8 + 9 17a = 8 + 9 Combine like terms: 8 + 9 = 17 17a = 17 Divide each side by '17'. a = 1 Simplifying a = 1
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