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Simplifying 4(a + -5) = 8a + 20 Reorder the terms: 4(-5 + a) = 8a + 20 (-5 * 4 + a * 4) = 8a + 20 (-20 + 4a) = 8a + 20 Reorder the terms: -20 + 4a = 20 + 8a Solving -20 + 4a = 20 + 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 + 4a + -8a = 20 + 8a + -8a Combine like terms: 4a + -8a = -4a -20 + -4a = 20 + 8a + -8a Combine like terms: 8a + -8a = 0 -20 + -4a = 20 + 0 -20 + -4a = 20 Add '20' to each side of the equation. -20 + 20 + -4a = 20 + 20 Combine like terms: -20 + 20 = 0 0 + -4a = 20 + 20 -4a = 20 + 20 Combine like terms: 20 + 20 = 40 -4a = 40 Divide each side by '-4'. a = -10 Simplifying a = -10
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