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Simplifying -7 + (a + 5) + -1(2 + -2a) = 14 Reorder the terms: -7 + (5 + a) + -1(2 + -2a) = 14 Remove parenthesis around (5 + a) -7 + 5 + a + -1(2 + -2a) = 14 -7 + 5 + a + (2 * -1 + -2a * -1) = 14 -7 + 5 + a + (-2 + 2a) = 14 Reorder the terms: -7 + 5 + -2 + a + 2a = 14 Combine like terms: -7 + 5 = -2 -2 + -2 + a + 2a = 14 Combine like terms: -2 + -2 = -4 -4 + a + 2a = 14 Combine like terms: a + 2a = 3a -4 + 3a = 14 Solving -4 + 3a = 14 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '4' to each side of the equation. -4 + 4 + 3a = 14 + 4 Combine like terms: -4 + 4 = 0 0 + 3a = 14 + 4 3a = 14 + 4 Combine like terms: 14 + 4 = 18 3a = 18 Divide each side by '3'. a = 6 Simplifying a = 6
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