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Simplifying 14a + -91 = 51 + -57a Reorder the terms: -91 + 14a = 51 + -57a Solving -91 + 14a = 51 + -57a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '57a' to each side of the equation. -91 + 14a + 57a = 51 + -57a + 57a Combine like terms: 14a + 57a = 71a -91 + 71a = 51 + -57a + 57a Combine like terms: -57a + 57a = 0 -91 + 71a = 51 + 0 -91 + 71a = 51 Add '91' to each side of the equation. -91 + 91 + 71a = 51 + 91 Combine like terms: -91 + 91 = 0 0 + 71a = 51 + 91 71a = 51 + 91 Combine like terms: 51 + 91 = 142 71a = 142 Divide each side by '71'. a = 2 Simplifying a = 2
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