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Simplifying -1(11 + 4k) = -11(1 + 8k) (11 * -1 + 4k * -1) = -11(1 + 8k) (-11 + -4k) = -11(1 + 8k) -11 + -4k = (1 * -11 + 8k * -11) -11 + -4k = (-11 + -88k) Add '11' to each side of the equation. -11 + 11 + -4k = -11 + 11 + -88k Combine like terms: -11 + 11 = 0 0 + -4k = -11 + 11 + -88k -4k = -11 + 11 + -88k Combine like terms: -11 + 11 = 0 -4k = 0 + -88k -4k = -88k Solving -4k = -88k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '88k' to each side of the equation. -4k + 88k = -88k + 88k Combine like terms: -4k + 88k = 84k 84k = -88k + 88k Combine like terms: -88k + 88k = 0 84k = 0 Divide each side by '84'. k = 0 Simplifying k = 0
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