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Simplifying -8(a + 7) = -14 + 6a Reorder the terms: -8(7 + a) = -14 + 6a (7 * -8 + a * -8) = -14 + 6a (-56 + -8a) = -14 + 6a Solving -56 + -8a = -14 + 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. -56 + -8a + -6a = -14 + 6a + -6a Combine like terms: -8a + -6a = -14a -56 + -14a = -14 + 6a + -6a Combine like terms: 6a + -6a = 0 -56 + -14a = -14 + 0 -56 + -14a = -14 Add '56' to each side of the equation. -56 + 56 + -14a = -14 + 56 Combine like terms: -56 + 56 = 0 0 + -14a = -14 + 56 -14a = -14 + 56 Combine like terms: -14 + 56 = 42 -14a = 42 Divide each side by '-14'. a = -3 Simplifying a = -3
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