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Simplifying -7 + 5(1 + -4k) = 18 -7 + (1 * 5 + -4k * 5) = 18 -7 + (5 + -20k) = 18 Combine like terms: -7 + 5 = -2 -2 + -20k = 18 Solving -2 + -20k = 18 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '2' to each side of the equation. -2 + 2 + -20k = 18 + 2 Combine like terms: -2 + 2 = 0 0 + -20k = 18 + 2 -20k = 18 + 2 Combine like terms: 18 + 2 = 20 -20k = 20 Divide each side by '-20'. k = -1 Simplifying k = -1
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