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Simplifying 7a + (2a + 1) = 32 + 2a + 4 Reorder the terms: 7a + (1 + 2a) = 32 + 2a + 4 Remove parenthesis around (1 + 2a) 7a + 1 + 2a = 32 + 2a + 4 Reorder the terms: 1 + 7a + 2a = 32 + 2a + 4 Combine like terms: 7a + 2a = 9a 1 + 9a = 32 + 2a + 4 Reorder the terms: 1 + 9a = 32 + 4 + 2a Combine like terms: 32 + 4 = 36 1 + 9a = 36 + 2a Solving 1 + 9a = 36 + 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. 1 + 9a + -2a = 36 + 2a + -2a Combine like terms: 9a + -2a = 7a 1 + 7a = 36 + 2a + -2a Combine like terms: 2a + -2a = 0 1 + 7a = 36 + 0 1 + 7a = 36 Add '-1' to each side of the equation. 1 + -1 + 7a = 36 + -1 Combine like terms: 1 + -1 = 0 0 + 7a = 36 + -1 7a = 36 + -1 Combine like terms: 36 + -1 = 35 7a = 35 Divide each side by '7'. a = 5 Simplifying a = 5
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