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Simplifying -3 + -8(1 + 2k) = 18 -3 + (1 * -8 + 2k * -8) = 18 -3 + (-8 + -16k) = 18 Combine like terms: -3 + -8 = -11 -11 + -16k = 18 Solving -11 + -16k = 18 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '11' to each side of the equation. -11 + 11 + -16k = 18 + 11 Combine like terms: -11 + 11 = 0 0 + -16k = 18 + 11 -16k = 18 + 11 Combine like terms: 18 + 11 = 29 -16k = 29 Divide each side by '-16'. k = -1.8125 Simplifying k = -1.8125
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