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Simplifying -19 + 4a = -1(a + -6) Reorder the terms: -19 + 4a = -1(-6 + a) -19 + 4a = (-6 * -1 + a * -1) -19 + 4a = (6 + -1a) Solving -19 + 4a = 6 + -1a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add 'a' to each side of the equation. -19 + 4a + a = 6 + -1a + a Combine like terms: 4a + a = 5a -19 + 5a = 6 + -1a + a Combine like terms: -1a + a = 0 -19 + 5a = 6 + 0 -19 + 5a = 6 Add '19' to each side of the equation. -19 + 19 + 5a = 6 + 19 Combine like terms: -19 + 19 = 0 0 + 5a = 6 + 19 5a = 6 + 19 Combine like terms: 6 + 19 = 25 5a = 25 Divide each side by '5'. a = 5 Simplifying a = 5
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