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Simplifying -2 + 4(k + -2) = -10 + 5k Reorder the terms: -2 + 4(-2 + k) = -10 + 5k -2 + (-2 * 4 + k * 4) = -10 + 5k -2 + (-8 + 4k) = -10 + 5k Combine like terms: -2 + -8 = -10 -10 + 4k = -10 + 5k Add '10' to each side of the equation. -10 + 10 + 4k = -10 + 10 + 5k Combine like terms: -10 + 10 = 0 0 + 4k = -10 + 10 + 5k 4k = -10 + 10 + 5k Combine like terms: -10 + 10 = 0 4k = 0 + 5k 4k = 5k Solving 4k = 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. 4k + -5k = 5k + -5k Combine like terms: 4k + -5k = -1k -1k = 5k + -5k Combine like terms: 5k + -5k = 0 -1k = 0 Divide each side by '-1'. k = 0 Simplifying k = 0
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