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Simplifying 2(a + 6) = 7 + -2a Reorder the terms: 2(6 + a) = 7 + -2a (6 * 2 + a * 2) = 7 + -2a (12 + 2a) = 7 + -2a Solving 12 + 2a = 7 + -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. 12 + 2a + 2a = 7 + -2a + 2a Combine like terms: 2a + 2a = 4a 12 + 4a = 7 + -2a + 2a Combine like terms: -2a + 2a = 0 12 + 4a = 7 + 0 12 + 4a = 7 Add '-12' to each side of the equation. 12 + -12 + 4a = 7 + -12 Combine like terms: 12 + -12 = 0 0 + 4a = 7 + -12 4a = 7 + -12 Combine like terms: 7 + -12 = -5 4a = -5 Divide each side by '4'. a = -1.25 Simplifying a = -1.25
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