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Simplifying -12 = a + -7 + -6a Reorder the terms: -12 = -7 + a + -6a Combine like terms: a + -6a = -5a -12 = -7 + -5a Solving -12 = -7 + -5a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '5a' to each side of the equation. -12 + 5a = -7 + -5a + 5a Combine like terms: -5a + 5a = 0 -12 + 5a = -7 + 0 -12 + 5a = -7 Add '12' to each side of the equation. -12 + 12 + 5a = -7 + 12 Combine like terms: -12 + 12 = 0 0 + 5a = -7 + 12 5a = -7 + 12 Combine like terms: -7 + 12 = 5 5a = 5 Divide each side by '5'. a = 1 Simplifying a = 1
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