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Simplifying 7(2a + 1) = 4(3a + 2) Reorder the terms: 7(1 + 2a) = 4(3a + 2) (1 * 7 + 2a * 7) = 4(3a + 2) (7 + 14a) = 4(3a + 2) Reorder the terms: 7 + 14a = 4(2 + 3a) 7 + 14a = (2 * 4 + 3a * 4) 7 + 14a = (8 + 12a) Solving 7 + 14a = 8 + 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. 7 + 14a + -12a = 8 + 12a + -12a Combine like terms: 14a + -12a = 2a 7 + 2a = 8 + 12a + -12a Combine like terms: 12a + -12a = 0 7 + 2a = 8 + 0 7 + 2a = 8 Add '-7' to each side of the equation. 7 + -7 + 2a = 8 + -7 Combine like terms: 7 + -7 = 0 0 + 2a = 8 + -7 2a = 8 + -7 Combine like terms: 8 + -7 = 1 2a = 1 Divide each side by '2'. a = 0.5 Simplifying a = 0.5
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