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Simplifying -21 + -8a = -11 + 6(4 + -5a) -21 + -8a = -11 + (4 * 6 + -5a * 6) -21 + -8a = -11 + (24 + -30a) Combine like terms: -11 + 24 = 13 -21 + -8a = 13 + -30a Solving -21 + -8a = 13 + -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 = 13 + -30a + 30a Combine like terms: -8a + 30a = 22a -21 + 22a = 13 + -30a + 30a Combine like terms: -30a + 30a = 0 -21 + 22a = 13 + 0 -21 + 22a = 13 Add '21' to each side of the equation. -21 + 21 + 22a = 13 + 21 Combine like terms: -21 + 21 = 0 0 + 22a = 13 + 21 22a = 13 + 21 Combine like terms: 13 + 21 = 34 22a = 34 Divide each side by '22'. a = 1.545454545 Simplifying a = 1.545454545
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