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Simplifying 2(-2k + -9) = -1(11 + -3k) Reorder the terms: 2(-9 + -2k) = -1(11 + -3k) (-9 * 2 + -2k * 2) = -1(11 + -3k) (-18 + -4k) = -1(11 + -3k) -18 + -4k = (11 * -1 + -3k * -1) -18 + -4k = (-11 + 3k) Solving -18 + -4k = -11 + 3k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-3k' to each side of the equation. -18 + -4k + -3k = -11 + 3k + -3k Combine like terms: -4k + -3k = -7k -18 + -7k = -11 + 3k + -3k Combine like terms: 3k + -3k = 0 -18 + -7k = -11 + 0 -18 + -7k = -11 Add '18' to each side of the equation. -18 + 18 + -7k = -11 + 18 Combine like terms: -18 + 18 = 0 0 + -7k = -11 + 18 -7k = -11 + 18 Combine like terms: -11 + 18 = 7 -7k = 7 Divide each side by '-7'. k = -1 Simplifying k = -1
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