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Simplifying 8 + (3a + -24) = (4a + 20) Reorder the terms: 8 + (-24 + 3a) = (4a + 20) Remove parenthesis around (-24 + 3a) 8 + -24 + 3a = (4a + 20) Combine like terms: 8 + -24 = -16 -16 + 3a = (4a + 20) Reorder the terms: -16 + 3a = (20 + 4a) Remove parenthesis around (20 + 4a) -16 + 3a = 20 + 4a Solving -16 + 3a = 20 + 4a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-4a' to each side of the equation. -16 + 3a + -4a = 20 + 4a + -4a Combine like terms: 3a + -4a = -1a -16 + -1a = 20 + 4a + -4a Combine like terms: 4a + -4a = 0 -16 + -1a = 20 + 0 -16 + -1a = 20 Add '16' to each side of the equation. -16 + 16 + -1a = 20 + 16 Combine like terms: -16 + 16 = 0 0 + -1a = 20 + 16 -1a = 20 + 16 Combine like terms: 20 + 16 = 36 -1a = 36 Divide each side by '-1'. a = -36 Simplifying a = -36
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