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Simplifying 5 + -8(a + 2) = 7 + a Reorder the terms: 5 + -8(2 + a) = 7 + a 5 + (2 * -8 + a * -8) = 7 + a 5 + (-16 + -8a) = 7 + a Combine like terms: 5 + -16 = -11 -11 + -8a = 7 + a Solving -11 + -8a = 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. -11 + -8a + -1a = 7 + a + -1a Combine like terms: -8a + -1a = -9a -11 + -9a = 7 + a + -1a Combine like terms: a + -1a = 0 -11 + -9a = 7 + 0 -11 + -9a = 7 Add '11' to each side of the equation. -11 + 11 + -9a = 7 + 11 Combine like terms: -11 + 11 = 0 0 + -9a = 7 + 11 -9a = 7 + 11 Combine like terms: 7 + 11 = 18 -9a = 18 Divide each side by '-9'. a = -2 Simplifying a = -2
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