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Simplifying 4a + 7(2a + -5) + -5 + -1(3a + 1) = 50 Reorder the terms: 4a + 7(-5 + 2a) + -5 + -1(3a + 1) = 50 4a + (-5 * 7 + 2a * 7) + -5 + -1(3a + 1) = 50 4a + (-35 + 14a) + -5 + -1(3a + 1) = 50 Reorder the terms: 4a + -35 + 14a + -5 + -1(1 + 3a) = 50 4a + -35 + 14a + -5 + (1 * -1 + 3a * -1) = 50 4a + -35 + 14a + -5 + (-1 + -3a) = 50 Reorder the terms: -35 + -5 + -1 + 4a + 14a + -3a = 50 Combine like terms: -35 + -5 = -40 -40 + -1 + 4a + 14a + -3a = 50 Combine like terms: -40 + -1 = -41 -41 + 4a + 14a + -3a = 50 Combine like terms: 4a + 14a = 18a -41 + 18a + -3a = 50 Combine like terms: 18a + -3a = 15a -41 + 15a = 50 Solving -41 + 15a = 50 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '41' to each side of the equation. -41 + 41 + 15a = 50 + 41 Combine like terms: -41 + 41 = 0 0 + 15a = 50 + 41 15a = 50 + 41 Combine like terms: 50 + 41 = 91 15a = 91 Divide each side by '15'. a = 6.066666667 Simplifying a = 6.066666667
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