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Simplifying 5a + -6 = 7a + 14 Reorder the terms: -6 + 5a = 7a + 14 Reorder the terms: -6 + 5a = 14 + 7a Solving -6 + 5a = 14 + 7a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-7a' to each side of the equation. -6 + 5a + -7a = 14 + 7a + -7a Combine like terms: 5a + -7a = -2a -6 + -2a = 14 + 7a + -7a Combine like terms: 7a + -7a = 0 -6 + -2a = 14 + 0 -6 + -2a = 14 Add '6' to each side of the equation. -6 + 6 + -2a = 14 + 6 Combine like terms: -6 + 6 = 0 0 + -2a = 14 + 6 -2a = 14 + 6 Combine like terms: 14 + 6 = 20 -2a = 20 Divide each side by '-2'. a = -10 Simplifying a = -10
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