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Simplifying -11 + a = -2(7a + -2) Reorder the terms: -11 + a = -2(-2 + 7a) -11 + a = (-2 * -2 + 7a * -2) -11 + a = (4 + -14a) Solving -11 + a = 4 + -14a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '14a' to each side of the equation. -11 + a + 14a = 4 + -14a + 14a Combine like terms: a + 14a = 15a -11 + 15a = 4 + -14a + 14a Combine like terms: -14a + 14a = 0 -11 + 15a = 4 + 0 -11 + 15a = 4 Add '11' to each side of the equation. -11 + 11 + 15a = 4 + 11 Combine like terms: -11 + 11 = 0 0 + 15a = 4 + 11 15a = 4 + 11 Combine like terms: 4 + 11 = 15 15a = 15 Divide each side by '15'. a = 1 Simplifying a = 1
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