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Simplifying -12 + -8a = -1 + 6(4 + -5a) -12 + -8a = -1 + (4 * 6 + -5a * 6) -12 + -8a = -1 + (24 + -30a) Combine like terms: -1 + 24 = 23 -12 + -8a = 23 + -30a Solving -12 + -8a = 23 + -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. -12 + -8a + 30a = 23 + -30a + 30a Combine like terms: -8a + 30a = 22a -12 + 22a = 23 + -30a + 30a Combine like terms: -30a + 30a = 0 -12 + 22a = 23 + 0 -12 + 22a = 23 Add '12' to each side of the equation. -12 + 12 + 22a = 23 + 12 Combine like terms: -12 + 12 = 0 0 + 22a = 23 + 12 22a = 23 + 12 Combine like terms: 23 + 12 = 35 22a = 35 Divide each side by '22'. a = 1.590909091 Simplifying a = 1.590909091
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