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Simplifying -5(1 + -1a) = -1 + 4(7a + -1) (1 * -5 + -1a * -5) = -1 + 4(7a + -1) (-5 + 5a) = -1 + 4(7a + -1) Reorder the terms: -5 + 5a = -1 + 4(-1 + 7a) -5 + 5a = -1 + (-1 * 4 + 7a * 4) -5 + 5a = -1 + (-4 + 28a) Combine like terms: -1 + -4 = -5 -5 + 5a = -5 + 28a Add '5' to each side of the equation. -5 + 5 + 5a = -5 + 5 + 28a Combine like terms: -5 + 5 = 0 0 + 5a = -5 + 5 + 28a 5a = -5 + 5 + 28a Combine like terms: -5 + 5 = 0 5a = 0 + 28a 5a = 28a Solving 5a = 28a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-28a' to each side of the equation. 5a + -28a = 28a + -28a Combine like terms: 5a + -28a = -23a -23a = 28a + -28a Combine like terms: 28a + -28a = 0 -23a = 0 Divide each side by '-23'. a = 0 Simplifying a = 0
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