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Simplifying 5(a + -4) + 3(5 + -1a) = a + 4(a + -1) + -1 Reorder the terms: 5(-4 + a) + 3(5 + -1a) = a + 4(a + -1) + -1 (-4 * 5 + a * 5) + 3(5 + -1a) = a + 4(a + -1) + -1 (-20 + 5a) + 3(5 + -1a) = a + 4(a + -1) + -1 -20 + 5a + (5 * 3 + -1a * 3) = a + 4(a + -1) + -1 -20 + 5a + (15 + -3a) = a + 4(a + -1) + -1 Reorder the terms: -20 + 15 + 5a + -3a = a + 4(a + -1) + -1 Combine like terms: -20 + 15 = -5 -5 + 5a + -3a = a + 4(a + -1) + -1 Combine like terms: 5a + -3a = 2a -5 + 2a = a + 4(a + -1) + -1 Reorder the terms: -5 + 2a = a + 4(-1 + a) + -1 -5 + 2a = a + (-1 * 4 + a * 4) + -1 -5 + 2a = a + (-4 + 4a) + -1 Reorder the terms: -5 + 2a = -4 + -1 + a + 4a Combine like terms: -4 + -1 = -5 -5 + 2a = -5 + a + 4a Combine like terms: a + 4a = 5a -5 + 2a = -5 + 5a Add '5' to each side of the equation. -5 + 5 + 2a = -5 + 5 + 5a Combine like terms: -5 + 5 = 0 0 + 2a = -5 + 5 + 5a 2a = -5 + 5 + 5a Combine like terms: -5 + 5 = 0 2a = 0 + 5a 2a = 5a Solving 2a = 5a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-5a' to each side of the equation. 2a + -5a = 5a + -5a Combine like terms: 2a + -5a = -3a -3a = 5a + -5a Combine like terms: 5a + -5a = 0 -3a = 0 Divide each side by '-3'. a = 0 Simplifying a = 0
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