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Simplifying 2(a + 6) = 5a + -6 Reorder the terms: 2(6 + a) = 5a + -6 (6 * 2 + a * 2) = 5a + -6 (12 + 2a) = 5a + -6 Reorder the terms: 12 + 2a = -6 + 5a Solving 12 + 2a = -6 + 5a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-5a' to each side of the equation. 12 + 2a + -5a = -6 + 5a + -5a Combine like terms: 2a + -5a = -3a 12 + -3a = -6 + 5a + -5a Combine like terms: 5a + -5a = 0 12 + -3a = -6 + 0 12 + -3a = -6 Add '-12' to each side of the equation. 12 + -12 + -3a = -6 + -12 Combine like terms: 12 + -12 = 0 0 + -3a = -6 + -12 -3a = -6 + -12 Combine like terms: -6 + -12 = -18 -3a = -18 Divide each side by '-3'. a = 6 Simplifying a = 6
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