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Simplifying -164 = -1a + 4(1 + -5a) -164 = -1a + (1 * 4 + -5a * 4) -164 = -1a + (4 + -20a) Reorder the terms: -164 = 4 + -1a + -20a Combine like terms: -1a + -20a = -21a -164 = 4 + -21a Solving -164 = 4 + -21a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '21a' to each side of the equation. -164 + 21a = 4 + -21a + 21a Combine like terms: -21a + 21a = 0 -164 + 21a = 4 + 0 -164 + 21a = 4 Add '164' to each side of the equation. -164 + 164 + 21a = 4 + 164 Combine like terms: -164 + 164 = 0 0 + 21a = 4 + 164 21a = 4 + 164 Combine like terms: 4 + 164 = 168 21a = 168 Divide each side by '21'. a = 8 Simplifying a = 8
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