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Simplifying 5 + -7(a + 2) = 7 + a Reorder the terms: 5 + -7(2 + a) = 7 + a 5 + (2 * -7 + a * -7) = 7 + a 5 + (-14 + -7a) = 7 + a Combine like terms: 5 + -14 = -9 -9 + -7a = 7 + a Solving -9 + -7a = 7 + 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. -9 + -7a + -1a = 7 + a + -1a Combine like terms: -7a + -1a = -8a -9 + -8a = 7 + a + -1a Combine like terms: a + -1a = 0 -9 + -8a = 7 + 0 -9 + -8a = 7 Add '9' to each side of the equation. -9 + 9 + -8a = 7 + 9 Combine like terms: -9 + 9 = 0 0 + -8a = 7 + 9 -8a = 7 + 9 Combine like terms: 7 + 9 = 16 -8a = 16 Divide each side by '-8'. a = -2 Simplifying a = -2
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