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Simplifying 10 + 12 + -18a = -1(6a + 12) Combine like terms: 10 + 12 = 22 22 + -18a = -1(6a + 12) Reorder the terms: 22 + -18a = -1(12 + 6a) 22 + -18a = (12 * -1 + 6a * -1) 22 + -18a = (-12 + -6a) Solving 22 + -18a = -12 + -6a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '6a' to each side of the equation. 22 + -18a + 6a = -12 + -6a + 6a Combine like terms: -18a + 6a = -12a 22 + -12a = -12 + -6a + 6a Combine like terms: -6a + 6a = 0 22 + -12a = -12 + 0 22 + -12a = -12 Add '-22' to each side of the equation. 22 + -22 + -12a = -12 + -22 Combine like terms: 22 + -22 = 0 0 + -12a = -12 + -22 -12a = -12 + -22 Combine like terms: -12 + -22 = -34 -12a = -34 Divide each side by '-12'. a = 2.833333333 Simplifying a = 2.833333333
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