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Simplifying 2(6a + -1) + -8a = -18 + 2a Reorder the terms: 2(-1 + 6a) + -8a = -18 + 2a (-1 * 2 + 6a * 2) + -8a = -18 + 2a (-2 + 12a) + -8a = -18 + 2a Combine like terms: 12a + -8a = 4a -2 + 4a = -18 + 2a Solving -2 + 4a = -18 + 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. -2 + 4a + -2a = -18 + 2a + -2a Combine like terms: 4a + -2a = 2a -2 + 2a = -18 + 2a + -2a Combine like terms: 2a + -2a = 0 -2 + 2a = -18 + 0 -2 + 2a = -18 Add '2' to each side of the equation. -2 + 2 + 2a = -18 + 2 Combine like terms: -2 + 2 = 0 0 + 2a = -18 + 2 2a = -18 + 2 Combine like terms: -18 + 2 = -16 2a = -16 Divide each side by '2'. a = -8 Simplifying a = -8
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