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Simplifying 5(a + -2) = 3a + -8a + 20 Reorder the terms: 5(-2 + a) = 3a + -8a + 20 (-2 * 5 + a * 5) = 3a + -8a + 20 (-10 + 5a) = 3a + -8a + 20 Reorder the terms: -10 + 5a = 20 + 3a + -8a Combine like terms: 3a + -8a = -5a -10 + 5a = 20 + -5a Solving -10 + 5a = 20 + -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. -10 + 5a + 5a = 20 + -5a + 5a Combine like terms: 5a + 5a = 10a -10 + 10a = 20 + -5a + 5a Combine like terms: -5a + 5a = 0 -10 + 10a = 20 + 0 -10 + 10a = 20 Add '10' to each side of the equation. -10 + 10 + 10a = 20 + 10 Combine like terms: -10 + 10 = 0 0 + 10a = 20 + 10 10a = 20 + 10 Combine like terms: 20 + 10 = 30 10a = 30 Divide each side by '10'. a = 3 Simplifying a = 3
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