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Simplifying (7a + -21) + (a + 4) = 15 Reorder the terms: (-21 + 7a) + (a + 4) = 15 Remove parenthesis around (-21 + 7a) -21 + 7a + (a + 4) = 15 Reorder the terms: -21 + 7a + (4 + a) = 15 Remove parenthesis around (4 + a) -21 + 7a + 4 + a = 15 Reorder the terms: -21 + 4 + 7a + a = 15 Combine like terms: -21 + 4 = -17 -17 + 7a + a = 15 Combine like terms: 7a + a = 8a -17 + 8a = 15 Solving -17 + 8a = 15 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '17' to each side of the equation. -17 + 17 + 8a = 15 + 17 Combine like terms: -17 + 17 = 0 0 + 8a = 15 + 17 8a = 15 + 17 Combine like terms: 15 + 17 = 32 8a = 32 Divide each side by '8'. a = 4 Simplifying a = 4
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