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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 = -40 -40 + 4a + 14a + -15a = 50 Combine like terms: 4a + 14a = 18a -40 + 18a + -15a = 50 Combine like terms: 18a + -15a = 3a -40 + 3a = 50 Solving -40 + 3a = 50 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '40' to each side of the equation. -40 + 40 + 3a = 50 + 40 Combine like terms: -40 + 40 = 0 0 + 3a = 50 + 40 3a = 50 + 40 Combine like terms: 50 + 40 = 90 3a = 90 Divide each side by '3'. a = 30 Simplifying a = 30
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