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Simplifying (-10a + 24) = (5a + 39) Reorder the terms: (24 + -10a) = (5a + 39) Remove parenthesis around (24 + -10a) 24 + -10a = (5a + 39) Reorder the terms: 24 + -10a = (39 + 5a) Remove parenthesis around (39 + 5a) 24 + -10a = 39 + 5a Solving 24 + -10a = 39 + 5a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-5a' to each side of the equation. 24 + -10a + -5a = 39 + 5a + -5a Combine like terms: -10a + -5a = -15a 24 + -15a = 39 + 5a + -5a Combine like terms: 5a + -5a = 0 24 + -15a = 39 + 0 24 + -15a = 39 Add '-24' to each side of the equation. 24 + -24 + -15a = 39 + -24 Combine like terms: 24 + -24 = 0 0 + -15a = 39 + -24 -15a = 39 + -24 Combine like terms: 39 + -24 = 15 -15a = 15 Divide each side by '-15'. a = -1 Simplifying a = -1
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