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