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Simplifying (3a + -7) + -2(a + 1) = 5 Reorder the terms: (-7 + 3a) + -2(a + 1) = 5 Remove parenthesis around (-7 + 3a) -7 + 3a + -2(a + 1) = 5 Reorder the terms: -7 + 3a + -2(1 + a) = 5 -7 + 3a + (1 * -2 + a * -2) = 5 -7 + 3a + (-2 + -2a) = 5 Reorder the terms: -7 + -2 + 3a + -2a = 5 Combine like terms: -7 + -2 = -9 -9 + 3a + -2a = 5 Combine like terms: 3a + -2a = 1a -9 + 1a = 5 Solving -9 + 1a = 5 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '9' to each side of the equation. -9 + 9 + 1a = 5 + 9 Combine like terms: -9 + 9 = 0 0 + 1a = 5 + 9 1a = 5 + 9 Combine like terms: 5 + 9 = 14 1a = 14 Divide each side by '1'. a = 14 Simplifying a = 14
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