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Simplifying 4k + -1(-6) = -2k + -1(-16) + -1(-2) Multiply -1 * -6 4k + 6 = -2k + -1(-16) + -1(-2) Reorder the terms: 6 + 4k = -2k + -1(-16) + -1(-2) Multiply -1 * -16 6 + 4k = -2k + 16 + -1(-2) Multiply -1 * -2 6 + 4k = -2k + 16 + 2 Reorder the terms: 6 + 4k = 16 + 2 + -2k Combine like terms: 16 + 2 = 18 6 + 4k = 18 + -2k Solving 6 + 4k = 18 + -2k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '2k' to each side of the equation. 6 + 4k + 2k = 18 + -2k + 2k Combine like terms: 4k + 2k = 6k 6 + 6k = 18 + -2k + 2k Combine like terms: -2k + 2k = 0 6 + 6k = 18 + 0 6 + 6k = 18 Add '-6' to each side of the equation. 6 + -6 + 6k = 18 + -6 Combine like terms: 6 + -6 = 0 0 + 6k = 18 + -6 6k = 18 + -6 Combine like terms: 18 + -6 = 12 6k = 12 Divide each side by '6'. k = 2 Simplifying k = 2
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