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Simplifying 5a + -14 = 2a + 7 Reorder the terms: -14 + 5a = 2a + 7 Reorder the terms: -14 + 5a = 7 + 2a Solving -14 + 5a = 7 + 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. -14 + 5a + -2a = 7 + 2a + -2a Combine like terms: 5a + -2a = 3a -14 + 3a = 7 + 2a + -2a Combine like terms: 2a + -2a = 0 -14 + 3a = 7 + 0 -14 + 3a = 7 Add '14' to each side of the equation. -14 + 14 + 3a = 7 + 14 Combine like terms: -14 + 14 = 0 0 + 3a = 7 + 14 3a = 7 + 14 Combine like terms: 7 + 14 = 21 3a = 21 Divide each side by '3'. a = 7 Simplifying a = 7
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