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Simplifying 6(4a + -8) = 31 + 2a Reorder the terms: 6(-8 + 4a) = 31 + 2a (-8 * 6 + 4a * 6) = 31 + 2a (-48 + 24a) = 31 + 2a Solving -48 + 24a = 31 + 2a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-2a' to each side of the equation. -48 + 24a + -2a = 31 + 2a + -2a Combine like terms: 24a + -2a = 22a -48 + 22a = 31 + 2a + -2a Combine like terms: 2a + -2a = 0 -48 + 22a = 31 + 0 -48 + 22a = 31 Add '48' to each side of the equation. -48 + 48 + 22a = 31 + 48 Combine like terms: -48 + 48 = 0 0 + 22a = 31 + 48 22a = 31 + 48 Combine like terms: 31 + 48 = 79 22a = 79 Divide each side by '22'. a = 3.590909091 Simplifying a = 3.590909091
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