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Simplifying -21 + -8a = 1 + 6(4 + -5a) -21 + -8a = 1 + (4 * 6 + -5a * 6) -21 + -8a = 1 + (24 + -30a) Combine like terms: 1 + 24 = 25 -21 + -8a = 25 + -30a Solving -21 + -8a = 25 + -30a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '30a' to each side of the equation. -21 + -8a + 30a = 25 + -30a + 30a Combine like terms: -8a + 30a = 22a -21 + 22a = 25 + -30a + 30a Combine like terms: -30a + 30a = 0 -21 + 22a = 25 + 0 -21 + 22a = 25 Add '21' to each side of the equation. -21 + 21 + 22a = 25 + 21 Combine like terms: -21 + 21 = 0 0 + 22a = 25 + 21 22a = 25 + 21 Combine like terms: 25 + 21 = 46 22a = 46 Divide each side by '22'. a = 2.090909091 Simplifying a = 2.090909091
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