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Simplifying 6 + -7(a + 2) = 8 + a Reorder the terms: 6 + -7(2 + a) = 8 + a 6 + (2 * -7 + a * -7) = 8 + a 6 + (-14 + -7a) = 8 + a Combine like terms: 6 + -14 = -8 -8 + -7a = 8 + a Solving -8 + -7a = 8 + a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-1a' to each side of the equation. -8 + -7a + -1a = 8 + a + -1a Combine like terms: -7a + -1a = -8a -8 + -8a = 8 + a + -1a Combine like terms: a + -1a = 0 -8 + -8a = 8 + 0 -8 + -8a = 8 Add '8' to each side of the equation. -8 + 8 + -8a = 8 + 8 Combine like terms: -8 + 8 = 0 0 + -8a = 8 + 8 -8a = 8 + 8 Combine like terms: 8 + 8 = 16 -8a = 16 Divide each side by '-8'. a = -2 Simplifying a = -2
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