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Simplifying 103 = 6a + 3(2a + 4) + a Reorder the terms: 103 = 6a + 3(4 + 2a) + a 103 = 6a + (4 * 3 + 2a * 3) + a 103 = 6a + (12 + 6a) + a Reorder the terms: 103 = 12 + 6a + 6a + a Combine like terms: 6a + 6a = 12a 103 = 12 + 12a + a Combine like terms: 12a + a = 13a 103 = 12 + 13a Solving 103 = 12 + 13a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-13a' to each side of the equation. 103 + -13a = 12 + 13a + -13a Combine like terms: 13a + -13a = 0 103 + -13a = 12 + 0 103 + -13a = 12 Add '-103' to each side of the equation. 103 + -103 + -13a = 12 + -103 Combine like terms: 103 + -103 = 0 0 + -13a = 12 + -103 -13a = 12 + -103 Combine like terms: 12 + -103 = -91 -13a = -91 Divide each side by '-13'. a = 7 Simplifying a = 7
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