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Simplifying 5k + -20k + -4 = k + 4 Reorder the terms: -4 + 5k + -20k = k + 4 Combine like terms: 5k + -20k = -15k -4 + -15k = k + 4 Reorder the terms: -4 + -15k = 4 + k Solving -4 + -15k = 4 + k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-1k' to each side of the equation. -4 + -15k + -1k = 4 + k + -1k Combine like terms: -15k + -1k = -16k -4 + -16k = 4 + k + -1k Combine like terms: k + -1k = 0 -4 + -16k = 4 + 0 -4 + -16k = 4 Add '4' to each side of the equation. -4 + 4 + -16k = 4 + 4 Combine like terms: -4 + 4 = 0 0 + -16k = 4 + 4 -16k = 4 + 4 Combine like terms: 4 + 4 = 8 -16k = 8 Divide each side by '-16'. k = -0.5 Simplifying k = -0.5
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