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Simplifying 6(a + 2) = 4(5 + -1a) Reorder the terms: 6(2 + a) = 4(5 + -1a) (2 * 6 + a * 6) = 4(5 + -1a) (12 + 6a) = 4(5 + -1a) 12 + 6a = (5 * 4 + -1a * 4) 12 + 6a = (20 + -4a) Solving 12 + 6a = 20 + -4a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '4a' to each side of the equation. 12 + 6a + 4a = 20 + -4a + 4a Combine like terms: 6a + 4a = 10a 12 + 10a = 20 + -4a + 4a Combine like terms: -4a + 4a = 0 12 + 10a = 20 + 0 12 + 10a = 20 Add '-12' to each side of the equation. 12 + -12 + 10a = 20 + -12 Combine like terms: 12 + -12 = 0 0 + 10a = 20 + -12 10a = 20 + -12 Combine like terms: 20 + -12 = 8 10a = 8 Divide each side by '10'. a = 0.8 Simplifying a = 0.8
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