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Simplifying a + 6 = 15 + -7a + 7 Reorder the terms: 6 + a = 15 + -7a + 7 Reorder the terms: 6 + a = 15 + 7 + -7a Combine like terms: 15 + 7 = 22 6 + a = 22 + -7a Solving 6 + a = 22 + -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 = 22 + -7a + 7a Combine like terms: a + 7a = 8a 6 + 8a = 22 + -7a + 7a Combine like terms: -7a + 7a = 0 6 + 8a = 22 + 0 6 + 8a = 22 Add '-6' to each side of the equation. 6 + -6 + 8a = 22 + -6 Combine like terms: 6 + -6 = 0 0 + 8a = 22 + -6 8a = 22 + -6 Combine like terms: 22 + -6 = 16 8a = 16 Divide each side by '8'. a = 2 Simplifying a = 2
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