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Simplifying a + 18 + -6 = 7a Reorder the terms: 18 + -6 + a = 7a Combine like terms: 18 + -6 = 12 12 + a = 7a Solving 12 + a = 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. 12 + a + -7a = 7a + -7a Combine like terms: a + -7a = -6a 12 + -6a = 7a + -7a Combine like terms: 7a + -7a = 0 12 + -6a = 0 Add '-12' to each side of the equation. 12 + -12 + -6a = 0 + -12 Combine like terms: 12 + -12 = 0 0 + -6a = 0 + -12 -6a = 0 + -12 Combine like terms: 0 + -12 = -12 -6a = -12 Divide each side by '-6'. a = 2 Simplifying a = 2
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