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Simplifying a + a + a + a + -6 = a + a + 14 Reorder the terms: -6 + a + a + a + a = a + a + 14 Combine like terms: a + a = 2a -6 + 2a + a + a = a + a + 14 Combine like terms: 2a + a = 3a -6 + 3a + a = a + a + 14 Combine like terms: 3a + a = 4a -6 + 4a = a + a + 14 Reorder the terms: -6 + 4a = 14 + a + a Combine like terms: a + a = 2a -6 + 4a = 14 + 2a Solving -6 + 4a = 14 + 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. -6 + 4a + -2a = 14 + 2a + -2a Combine like terms: 4a + -2a = 2a -6 + 2a = 14 + 2a + -2a Combine like terms: 2a + -2a = 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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