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Simplifying -2a + 7 = a + -11 Reorder the terms: 7 + -2a = a + -11 Reorder the terms: 7 + -2a = -11 + a Solving 7 + -2a = -11 + a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-1a' to each side of the equation. 7 + -2a + -1a = -11 + a + -1a Combine like terms: -2a + -1a = -3a 7 + -3a = -11 + a + -1a Combine like terms: a + -1a = 0 7 + -3a = -11 + 0 7 + -3a = -11 Add '-7' to each side of the equation. 7 + -7 + -3a = -11 + -7 Combine like terms: 7 + -7 = 0 0 + -3a = -11 + -7 -3a = -11 + -7 Combine like terms: -11 + -7 = -18 -3a = -18 Divide each side by '-3'. a = 6 Simplifying a = 6
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