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Simplifying 6(6a + -8) = -2(-6 + -8a) Reorder the terms: 6(-8 + 6a) = -2(-6 + -8a) (-8 * 6 + 6a * 6) = -2(-6 + -8a) (-48 + 36a) = -2(-6 + -8a) -48 + 36a = (-6 * -2 + -8a * -2) -48 + 36a = (12 + 16a) Solving -48 + 36a = 12 + 16a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-16a' to each side of the equation. -48 + 36a + -16a = 12 + 16a + -16a Combine like terms: 36a + -16a = 20a -48 + 20a = 12 + 16a + -16a Combine like terms: 16a + -16a = 0 -48 + 20a = 12 + 0 -48 + 20a = 12 Add '48' to each side of the equation. -48 + 48 + 20a = 12 + 48 Combine like terms: -48 + 48 = 0 0 + 20a = 12 + 48 20a = 12 + 48 Combine like terms: 12 + 48 = 60 20a = 60 Divide each side by '20'. a = 3 Simplifying a = 3
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