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Simplifying 7(-6a + 2) = -22 + -6a Reorder the terms: 7(2 + -6a) = -22 + -6a (2 * 7 + -6a * 7) = -22 + -6a (14 + -42a) = -22 + -6a Solving 14 + -42a = -22 + -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. 14 + -42a + 6a = -22 + -6a + 6a Combine like terms: -42a + 6a = -36a 14 + -36a = -22 + -6a + 6a Combine like terms: -6a + 6a = 0 14 + -36a = -22 + 0 14 + -36a = -22 Add '-14' to each side of the equation. 14 + -14 + -36a = -22 + -14 Combine like terms: 14 + -14 = 0 0 + -36a = -22 + -14 -36a = -22 + -14 Combine like terms: -22 + -14 = -36 -36a = -36 Divide each side by '-36'. a = 1 Simplifying a = 1
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