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Simplifying 4(a + -5) + 4a = 2(a + 4) Reorder the terms: 4(-5 + a) + 4a = 2(a + 4) (-5 * 4 + a * 4) + 4a = 2(a + 4) (-20 + 4a) + 4a = 2(a + 4) Combine like terms: 4a + 4a = 8a -20 + 8a = 2(a + 4) Reorder the terms: -20 + 8a = 2(4 + a) -20 + 8a = (4 * 2 + a * 2) -20 + 8a = (8 + 2a) Solving -20 + 8a = 8 + 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 + 8a + -2a = 8 + 2a + -2a Combine like terms: 8a + -2a = 6a -20 + 6a = 8 + 2a + -2a Combine like terms: 2a + -2a = 0 -20 + 6a = 8 + 0 -20 + 6a = 8 Add '20' to each side of the equation. -20 + 20 + 6a = 8 + 20 Combine like terms: -20 + 20 = 0 0 + 6a = 8 + 20 6a = 8 + 20 Combine like terms: 8 + 20 = 28 6a = 28 Divide each side by '6'. a = 4.666666667 Simplifying a = 4.666666667
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