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Simplifying (-2a + 78) = (a + 81) Reorder the terms: (78 + -2a) = (a + 81) Remove parenthesis around (78 + -2a) 78 + -2a = (a + 81) Reorder the terms: 78 + -2a = (81 + a) Remove parenthesis around (81 + a) 78 + -2a = 81 + a Solving 78 + -2a = 81 + a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-1a' to each side of the equation. 78 + -2a + -1a = 81 + a + -1a Combine like terms: -2a + -1a = -3a 78 + -3a = 81 + a + -1a Combine like terms: a + -1a = 0 78 + -3a = 81 + 0 78 + -3a = 81 Add '-78' to each side of the equation. 78 + -78 + -3a = 81 + -78 Combine like terms: 78 + -78 = 0 0 + -3a = 81 + -78 -3a = 81 + -78 Combine like terms: 81 + -78 = 3 -3a = 3 Divide each side by '-3'. a = -1 Simplifying a = -1
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