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Simplifying 5 + 4(k + -4) = -13 + 5k Reorder the terms: 5 + 4(-4 + k) = -13 + 5k 5 + (-4 * 4 + k * 4) = -13 + 5k 5 + (-16 + 4k) = -13 + 5k Combine like terms: 5 + -16 = -11 -11 + 4k = -13 + 5k Solving -11 + 4k = -13 + 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. -11 + 4k + -5k = -13 + 5k + -5k Combine like terms: 4k + -5k = -1k -11 + -1k = -13 + 5k + -5k Combine like terms: 5k + -5k = 0 -11 + -1k = -13 + 0 -11 + -1k = -13 Add '11' to each side of the equation. -11 + 11 + -1k = -13 + 11 Combine like terms: -11 + 11 = 0 0 + -1k = -13 + 11 -1k = -13 + 11 Combine like terms: -13 + 11 = -2 -1k = -2 Divide each side by '-1'. k = 2 Simplifying k = 2
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