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Simplifying 4(a + -5) + -3(1 + -1a) = 0 Reorder the terms: 4(-5 + a) + -3(1 + -1a) = 0 (-5 * 4 + a * 4) + -3(1 + -1a) = 0 (-20 + 4a) + -3(1 + -1a) = 0 -20 + 4a + (1 * -3 + -1a * -3) = 0 -20 + 4a + (-3 + 3a) = 0 Reorder the terms: -20 + -3 + 4a + 3a = 0 Combine like terms: -20 + -3 = -23 -23 + 4a + 3a = 0 Combine like terms: 4a + 3a = 7a -23 + 7a = 0 Solving -23 + 7a = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '23' to each side of the equation. -23 + 23 + 7a = 0 + 23 Combine like terms: -23 + 23 = 0 0 + 7a = 0 + 23 7a = 0 + 23 Combine like terms: 0 + 23 = 23 7a = 23 Divide each side by '7'. a = 3.285714286 Simplifying a = 3.285714286
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