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Simplifying 6(a + -5) + 12 = 2(9 + -5) Reorder the terms: 6(-5 + a) + 12 = 2(9 + -5) (-5 * 6 + a * 6) + 12 = 2(9 + -5) (-30 + 6a) + 12 = 2(9 + -5) Reorder the terms: -30 + 12 + 6a = 2(9 + -5) Combine like terms: -30 + 12 = -18 -18 + 6a = 2(9 + -5) Combine like terms: 9 + -5 = 4 -18 + 6a = 2(4) Multiply 2 * 4 -18 + 6a = 8 Solving -18 + 6a = 8 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '18' to each side of the equation. -18 + 18 + 6a = 8 + 18 Combine like terms: -18 + 18 = 0 0 + 6a = 8 + 18 6a = 8 + 18 Combine like terms: 8 + 18 = 26 6a = 26 Divide each side by '6'. a = 4.333333333 Simplifying a = 4.333333333
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