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Simplifying -11 = a + -4 + 6a Reorder the terms: -11 = -4 + a + 6a Combine like terms: a + 6a = 7a -11 = -4 + 7a Solving -11 = -4 + 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. -11 + -7a = -4 + 7a + -7a Combine like terms: 7a + -7a = 0 -11 + -7a = -4 + 0 -11 + -7a = -4 Add '11' to each side of the equation. -11 + 11 + -7a = -4 + 11 Combine like terms: -11 + 11 = 0 0 + -7a = -4 + 11 -7a = -4 + 11 Combine like terms: -4 + 11 = 7 -7a = 7 Divide each side by '-7'. a = -1 Simplifying a = -1
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