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Simplifying a + -78 = -2a + 10 Reorder the terms: -78 + a = -2a + 10 Reorder the terms: -78 + a = 10 + -2a Solving -78 + a = 10 + -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. -78 + a + 2a = 10 + -2a + 2a Combine like terms: a + 2a = 3a -78 + 3a = 10 + -2a + 2a Combine like terms: -2a + 2a = 0 -78 + 3a = 10 + 0 -78 + 3a = 10 Add '78' to each side of the equation. -78 + 78 + 3a = 10 + 78 Combine like terms: -78 + 78 = 0 0 + 3a = 10 + 78 3a = 10 + 78 Combine like terms: 10 + 78 = 88 3a = 88 Divide each side by '3'. a = 29.33333333 Simplifying a = 29.33333333
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