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Simplifying -4a + -2(-6a + 2) = -22 + 2a Reorder the terms: -4a + -2(2 + -6a) = -22 + 2a -4a + (2 * -2 + -6a * -2) = -22 + 2a -4a + (-4 + 12a) = -22 + 2a Reorder the terms: -4 + -4a + 12a = -22 + 2a Combine like terms: -4a + 12a = 8a -4 + 8a = -22 + 2a Solving -4 + 8a = -22 + 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. -4 + 8a + -2a = -22 + 2a + -2a Combine like terms: 8a + -2a = 6a -4 + 6a = -22 + 2a + -2a Combine like terms: 2a + -2a = 0 -4 + 6a = -22 + 0 -4 + 6a = -22 Add '4' to each side of the equation. -4 + 4 + 6a = -22 + 4 Combine like terms: -4 + 4 = 0 0 + 6a = -22 + 4 6a = -22 + 4 Combine like terms: -22 + 4 = -18 6a = -18 Divide each side by '6'. a = -3 Simplifying a = -3
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