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Simplifying 25 + 8a = a + 6(-4a + -1) Reorder the terms: 25 + 8a = a + 6(-1 + -4a) 25 + 8a = a + (-1 * 6 + -4a * 6) 25 + 8a = a + (-6 + -24a) Reorder the terms: 25 + 8a = -6 + a + -24a Combine like terms: a + -24a = -23a 25 + 8a = -6 + -23a Solving 25 + 8a = -6 + -23a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '23a' to each side of the equation. 25 + 8a + 23a = -6 + -23a + 23a Combine like terms: 8a + 23a = 31a 25 + 31a = -6 + -23a + 23a Combine like terms: -23a + 23a = 0 25 + 31a = -6 + 0 25 + 31a = -6 Add '-25' to each side of the equation. 25 + -25 + 31a = -6 + -25 Combine like terms: 25 + -25 = 0 0 + 31a = -6 + -25 31a = -6 + -25 Combine like terms: -6 + -25 = -31 31a = -31 Divide each side by '31'. a = -1 Simplifying a = -1
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