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Simplifying a + (5 + 3a) = 2a + -7 Remove parenthesis around (5 + 3a) a + 5 + 3a = 2a + -7 Reorder the terms: 5 + a + 3a = 2a + -7 Combine like terms: a + 3a = 4a 5 + 4a = 2a + -7 Reorder the terms: 5 + 4a = -7 + 2a Solving 5 + 4a = -7 + 2a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-2a' to each side of the equation. 5 + 4a + -2a = -7 + 2a + -2a Combine like terms: 4a + -2a = 2a 5 + 2a = -7 + 2a + -2a Combine like terms: 2a + -2a = 0 5 + 2a = -7 + 0 5 + 2a = -7 Add '-5' to each side of the equation. 5 + -5 + 2a = -7 + -5 Combine like terms: 5 + -5 = 0 0 + 2a = -7 + -5 2a = -7 + -5 Combine like terms: -7 + -5 = -12 2a = -12 Divide each side by '2'. a = -6 Simplifying a = -6
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