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Simplifying -114 = 6(-4 + 2a) + 6a -114 = (-4 * 6 + 2a * 6) + 6a -114 = (-24 + 12a) + 6a Combine like terms: 12a + 6a = 18a -114 = -24 + 18a Solving -114 = -24 + 18a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-18a' to each side of the equation. -114 + -18a = -24 + 18a + -18a Combine like terms: 18a + -18a = 0 -114 + -18a = -24 + 0 -114 + -18a = -24 Add '114' to each side of the equation. -114 + 114 + -18a = -24 + 114 Combine like terms: -114 + 114 = 0 0 + -18a = -24 + 114 -18a = -24 + 114 Combine like terms: -24 + 114 = 90 -18a = 90 Divide each side by '-18'. a = -5 Simplifying a = -5
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