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Simplifying 4a + 7(2a + 5) + -5(3a + 1) = 50 Reorder the terms: 4a + 7(5 + 2a) + -5(3a + 1) = 50 4a + (5 * 7 + 2a * 7) + -5(3a + 1) = 50 4a + (35 + 14a) + -5(3a + 1) = 50 Reorder the terms: 4a + 35 + 14a + -5(1 + 3a) = 50 4a + 35 + 14a + (1 * -5 + 3a * -5) = 50 4a + 35 + 14a + (-5 + -15a) = 50 Reorder the terms: 35 + -5 + 4a + 14a + -15a = 50 Combine like terms: 35 + -5 = 30 30 + 4a + 14a + -15a = 50 Combine like terms: 4a + 14a = 18a 30 + 18a + -15a = 50 Combine like terms: 18a + -15a = 3a 30 + 3a = 50 Solving 30 + 3a = 50 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-30' to each side of the equation. 30 + -30 + 3a = 50 + -30 Combine like terms: 30 + -30 = 0 0 + 3a = 50 + -30 3a = 50 + -30 Combine like terms: 50 + -30 = 20 3a = 20 Divide each side by '3'. a = 6.666666667 Simplifying a = 6.666666667
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