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Simplifying a + -6 = 7a + 14 Reorder the terms: -6 + a = 7a + 14 Reorder the terms: -6 + a = 14 + 7a Solving -6 + a = 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 + a + -7a = 14 + 7a + -7a Combine like terms: a + -7a = -6a -6 + -6a = 14 + 7a + -7a Combine like terms: 7a + -7a = 0 -6 + -6a = 14 + 0 -6 + -6a = 14 Add '6' to each side of the equation. -6 + 6 + -6a = 14 + 6 Combine like terms: -6 + 6 = 0 0 + -6a = 14 + 6 -6a = 14 + 6 Combine like terms: 14 + 6 = 20 -6a = 20 Divide each side by '-6'. a = -3.333333333 Simplifying a = -3.333333333
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