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Simplifying -8a + 7(a + -2) = 22 + -7a Reorder the terms: -8a + 7(-2 + a) = 22 + -7a -8a + (-2 * 7 + a * 7) = 22 + -7a -8a + (-14 + 7a) = 22 + -7a Reorder the terms: -14 + -8a + 7a = 22 + -7a Combine like terms: -8a + 7a = -1a -14 + -1a = 22 + -7a Solving -14 + -1a = 22 + -7a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '7a' to each side of the equation. -14 + -1a + 7a = 22 + -7a + 7a Combine like terms: -1a + 7a = 6a -14 + 6a = 22 + -7a + 7a Combine like terms: -7a + 7a = 0 -14 + 6a = 22 + 0 -14 + 6a = 22 Add '14' to each side of the equation. -14 + 14 + 6a = 22 + 14 Combine like terms: -14 + 14 = 0 0 + 6a = 22 + 14 6a = 22 + 14 Combine like terms: 22 + 14 = 36 6a = 36 Divide each side by '6'. a = 6 Simplifying a = 6
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