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Simplifying 4k + -1(-6) = -2 + -1(-16) + -1(-2) Multiply -1 * -6 4k + 6 = -2 + -1(-16) + -1(-2) Reorder the terms: 6 + 4k = -2 + -1(-16) + -1(-2) Multiply -1 * -16 6 + 4k = -2 + 16 + -1(-2) Multiply -1 * -2 6 + 4k = -2 + 16 + 2 Combine like terms: -2 + 16 = 14 6 + 4k = 14 + 2 Combine like terms: 14 + 2 = 16 6 + 4k = 16 Solving 6 + 4k = 16 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-6' to each side of the equation. 6 + -6 + 4k = 16 + -6 Combine like terms: 6 + -6 = 0 0 + 4k = 16 + -6 4k = 16 + -6 Combine like terms: 16 + -6 = 10 4k = 10 Divide each side by '4'. k = 2.5 Simplifying k = 2.5
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