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Simplifying 14a + -13 = 2a + 47 Reorder the terms: -13 + 14a = 2a + 47 Reorder the terms: -13 + 14a = 47 + 2a Solving -13 + 14a = 47 + 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. -13 + 14a + -2a = 47 + 2a + -2a Combine like terms: 14a + -2a = 12a -13 + 12a = 47 + 2a + -2a Combine like terms: 2a + -2a = 0 -13 + 12a = 47 + 0 -13 + 12a = 47 Add '13' to each side of the equation. -13 + 13 + 12a = 47 + 13 Combine like terms: -13 + 13 = 0 0 + 12a = 47 + 13 12a = 47 + 13 Combine like terms: 47 + 13 = 60 12a = 60 Divide each side by '12'. a = 5 Simplifying a = 5
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