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Simplifying -18 + -1(4k + -1) = 5k + 10 Reorder the terms: -18 + -1(-1 + 4k) = 5k + 10 -18 + (-1 * -1 + 4k * -1) = 5k + 10 -18 + (1 + -4k) = 5k + 10 Combine like terms: -18 + 1 = -17 -17 + -4k = 5k + 10 Reorder the terms: -17 + -4k = 10 + 5k Solving -17 + -4k = 10 + 5k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-5k' to each side of the equation. -17 + -4k + -5k = 10 + 5k + -5k Combine like terms: -4k + -5k = -9k -17 + -9k = 10 + 5k + -5k Combine like terms: 5k + -5k = 0 -17 + -9k = 10 + 0 -17 + -9k = 10 Add '17' to each side of the equation. -17 + 17 + -9k = 10 + 17 Combine like terms: -17 + 17 = 0 0 + -9k = 10 + 17 -9k = 10 + 17 Combine like terms: 10 + 17 = 27 -9k = 27 Divide each side by '-9'. k = -3 Simplifying k = -3
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