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Simplifying 103 = 4 + 3(4a + 5) Reorder the terms: 103 = 4 + 3(5 + 4a) 103 = 4 + (5 * 3 + 4a * 3) 103 = 4 + (15 + 12a) Combine like terms: 4 + 15 = 19 103 = 19 + 12a Solving 103 = 19 + 12a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-12a' to each side of the equation. 103 + -12a = 19 + 12a + -12a Combine like terms: 12a + -12a = 0 103 + -12a = 19 + 0 103 + -12a = 19 Add '-103' to each side of the equation. 103 + -103 + -12a = 19 + -103 Combine like terms: 103 + -103 = 0 0 + -12a = 19 + -103 -12a = 19 + -103 Combine like terms: 19 + -103 = -84 -12a = -84 Divide each side by '-12'. a = 7 Simplifying a = 7
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