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Simplifying 5(a + -4) + 8 = 2a + 20 Reorder the terms: 5(-4 + a) + 8 = 2a + 20 (-4 * 5 + a * 5) + 8 = 2a + 20 (-20 + 5a) + 8 = 2a + 20 Reorder the terms: -20 + 8 + 5a = 2a + 20 Combine like terms: -20 + 8 = -12 -12 + 5a = 2a + 20 Reorder the terms: -12 + 5a = 20 + 2a Solving -12 + 5a = 20 + 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. -12 + 5a + -2a = 20 + 2a + -2a Combine like terms: 5a + -2a = 3a -12 + 3a = 20 + 2a + -2a Combine like terms: 2a + -2a = 0 -12 + 3a = 20 + 0 -12 + 3a = 20 Add '12' to each side of the equation. -12 + 12 + 3a = 20 + 12 Combine like terms: -12 + 12 = 0 0 + 3a = 20 + 12 3a = 20 + 12 Combine like terms: 20 + 12 = 32 3a = 32 Divide each side by '3'. a = 10.66666667 Simplifying a = 10.66666667
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