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Simplifying 4(2a + -1) = 5(a + 1) Reorder the terms: 4(-1 + 2a) = 5(a + 1) (-1 * 4 + 2a * 4) = 5(a + 1) (-4 + 8a) = 5(a + 1) Reorder the terms: -4 + 8a = 5(1 + a) -4 + 8a = (1 * 5 + a * 5) -4 + 8a = (5 + 5a) Solving -4 + 8a = 5 + 5a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-5a' to each side of the equation. -4 + 8a + -5a = 5 + 5a + -5a Combine like terms: 8a + -5a = 3a -4 + 3a = 5 + 5a + -5a Combine like terms: 5a + -5a = 0 -4 + 3a = 5 + 0 -4 + 3a = 5 Add '4' to each side of the equation. -4 + 4 + 3a = 5 + 4 Combine like terms: -4 + 4 = 0 0 + 3a = 5 + 4 3a = 5 + 4 Combine like terms: 5 + 4 = 9 3a = 9 Divide each side by '3'. a = 3 Simplifying a = 3
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