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Simplifying 4(2a + 5) + -3(4a + -1) = 5(4a + -7) Reorder the terms: 4(5 + 2a) + -3(4a + -1) = 5(4a + -7) (5 * 4 + 2a * 4) + -3(4a + -1) = 5(4a + -7) (20 + 8a) + -3(4a + -1) = 5(4a + -7) Reorder the terms: 20 + 8a + -3(-1 + 4a) = 5(4a + -7) 20 + 8a + (-1 * -3 + 4a * -3) = 5(4a + -7) 20 + 8a + (3 + -12a) = 5(4a + -7) Reorder the terms: 20 + 3 + 8a + -12a = 5(4a + -7) Combine like terms: 20 + 3 = 23 23 + 8a + -12a = 5(4a + -7) Combine like terms: 8a + -12a = -4a 23 + -4a = 5(4a + -7) Reorder the terms: 23 + -4a = 5(-7 + 4a) 23 + -4a = (-7 * 5 + 4a * 5) 23 + -4a = (-35 + 20a) Solving 23 + -4a = -35 + 20a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-20a' to each side of the equation. 23 + -4a + -20a = -35 + 20a + -20a Combine like terms: -4a + -20a = -24a 23 + -24a = -35 + 20a + -20a Combine like terms: 20a + -20a = 0 23 + -24a = -35 + 0 23 + -24a = -35 Add '-23' to each side of the equation. 23 + -23 + -24a = -35 + -23 Combine like terms: 23 + -23 = 0 0 + -24a = -35 + -23 -24a = -35 + -23 Combine like terms: -35 + -23 = -58 -24a = -58 Divide each side by '-24'. a = 2.416666667 Simplifying a = 2.416666667
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