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Simplifying 5(a + -4) = 3(2 + a) Reorder the terms: 5(-4 + a) = 3(2 + a) (-4 * 5 + a * 5) = 3(2 + a) (-20 + 5a) = 3(2 + a) -20 + 5a = (2 * 3 + a * 3) -20 + 5a = (6 + 3a) Solving -20 + 5a = 6 + 3a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-3a' to each side of the equation. -20 + 5a + -3a = 6 + 3a + -3a Combine like terms: 5a + -3a = 2a -20 + 2a = 6 + 3a + -3a Combine like terms: 3a + -3a = 0 -20 + 2a = 6 + 0 -20 + 2a = 6 Add '20' to each side of the equation. -20 + 20 + 2a = 6 + 20 Combine like terms: -20 + 20 = 0 0 + 2a = 6 + 20 2a = 6 + 20 Combine like terms: 6 + 20 = 26 2a = 26 Divide each side by '2'. a = 13 Simplifying a = 13
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