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Simplifying -6(4a + -1) + 2a = -18 + 2a Reorder the terms: -6(-1 + 4a) + 2a = -18 + 2a (-1 * -6 + 4a * -6) + 2a = -18 + 2a (6 + -24a) + 2a = -18 + 2a Combine like terms: -24a + 2a = -22a 6 + -22a = -18 + 2a Solving 6 + -22a = -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. 6 + -22a + -2a = -18 + 2a + -2a Combine like terms: -22a + -2a = -24a 6 + -24a = -18 + 2a + -2a Combine like terms: 2a + -2a = 0 6 + -24a = -18 + 0 6 + -24a = -18 Add '-6' to each side of the equation. 6 + -6 + -24a = -18 + -6 Combine like terms: 6 + -6 = 0 0 + -24a = -18 + -6 -24a = -18 + -6 Combine like terms: -18 + -6 = -24 -24a = -24 Divide each side by '-24'. a = 1 Simplifying a = 1
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