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Simplifying 20 + 10(a + -4) = 8a + 2 Reorder the terms: 20 + 10(-4 + a) = 8a + 2 20 + (-4 * 10 + a * 10) = 8a + 2 20 + (-40 + 10a) = 8a + 2 Combine like terms: 20 + -40 = -20 -20 + 10a = 8a + 2 Reorder the terms: -20 + 10a = 2 + 8a Solving -20 + 10a = 2 + 8a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-8a' to each side of the equation. -20 + 10a + -8a = 2 + 8a + -8a Combine like terms: 10a + -8a = 2a -20 + 2a = 2 + 8a + -8a Combine like terms: 8a + -8a = 0 -20 + 2a = 2 + 0 -20 + 2a = 2 Add '20' to each side of the equation. -20 + 20 + 2a = 2 + 20 Combine like terms: -20 + 20 = 0 0 + 2a = 2 + 20 2a = 2 + 20 Combine like terms: 2 + 20 = 22 2a = 22 Divide each side by '2'. a = 11 Simplifying a = 11
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