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Simplifying 4k + -6 = (-2k) + -16 + -2 Reorder the terms: -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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