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Simplifying 13a + -12 = 14a + 5 Reorder the terms: -12 + 13a = 14a + 5 Reorder the terms: -12 + 13a = 5 + 14a Solving -12 + 13a = 5 + 14a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-14a' to each side of the equation. -12 + 13a + -14a = 5 + 14a + -14a Combine like terms: 13a + -14a = -1a -12 + -1a = 5 + 14a + -14a Combine like terms: 14a + -14a = 0 -12 + -1a = 5 + 0 -12 + -1a = 5 Add '12' to each side of the equation. -12 + 12 + -1a = 5 + 12 Combine like terms: -12 + 12 = 0 0 + -1a = 5 + 12 -1a = 5 + 12 Combine like terms: 5 + 12 = 17 -1a = 17 Divide each side by '-1'. a = -17 Simplifying a = -17
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