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Simplifying 6(2a + 6) = 6(4a + -2) Reorder the terms: 6(6 + 2a) = 6(4a + -2) (6 * 6 + 2a * 6) = 6(4a + -2) (36 + 12a) = 6(4a + -2) Reorder the terms: 36 + 12a = 6(-2 + 4a) 36 + 12a = (-2 * 6 + 4a * 6) 36 + 12a = (-12 + 24a) Solving 36 + 12a = -12 + 24a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-24a' to each side of the equation. 36 + 12a + -24a = -12 + 24a + -24a Combine like terms: 12a + -24a = -12a 36 + -12a = -12 + 24a + -24a Combine like terms: 24a + -24a = 0 36 + -12a = -12 + 0 36 + -12a = -12 Add '-36' to each side of the equation. 36 + -36 + -12a = -12 + -36 Combine like terms: 36 + -36 = 0 0 + -12a = -12 + -36 -12a = -12 + -36 Combine like terms: -12 + -36 = -48 -12a = -48 Divide each side by '-12'. a = 4 Simplifying a = 4
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