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Simplifying -2(1 + a) = 7a + -11 (1 * -2 + a * -2) = 7a + -11 (-2 + -2a) = 7a + -11 Reorder the terms: -2 + -2a = -11 + 7a Solving -2 + -2a = -11 + 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. -2 + -2a + -7a = -11 + 7a + -7a Combine like terms: -2a + -7a = -9a -2 + -9a = -11 + 7a + -7a Combine like terms: 7a + -7a = 0 -2 + -9a = -11 + 0 -2 + -9a = -11 Add '2' to each side of the equation. -2 + 2 + -9a = -11 + 2 Combine like terms: -2 + 2 = 0 0 + -9a = -11 + 2 -9a = -11 + 2 Combine like terms: -11 + 2 = -9 -9a = -9 Divide each side by '-9'. a = 1 Simplifying a = 1
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