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Simplifying k + -38 = -3(1 + -2k) Reorder the terms: -38 + k = -3(1 + -2k) -38 + k = (1 * -3 + -2k * -3) -38 + k = (-3 + 6k) Solving -38 + k = -3 + 6k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-6k' to each side of the equation. -38 + k + -6k = -3 + 6k + -6k Combine like terms: k + -6k = -5k -38 + -5k = -3 + 6k + -6k Combine like terms: 6k + -6k = 0 -38 + -5k = -3 + 0 -38 + -5k = -3 Add '38' to each side of the equation. -38 + 38 + -5k = -3 + 38 Combine like terms: -38 + 38 = 0 0 + -5k = -3 + 38 -5k = -3 + 38 Combine like terms: -3 + 38 = 35 -5k = 35 Divide each side by '-5'. k = -7 Simplifying k = -7
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