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Simplifying k + -30 = 5k + -40 Reorder the terms: -30 + k = 5k + -40 Reorder the terms: -30 + k = -40 + 5k Solving -30 + k = -40 + 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. -30 + k + -5k = -40 + 5k + -5k Combine like terms: k + -5k = -4k -30 + -4k = -40 + 5k + -5k Combine like terms: 5k + -5k = 0 -30 + -4k = -40 + 0 -30 + -4k = -40 Add '30' to each side of the equation. -30 + 30 + -4k = -40 + 30 Combine like terms: -30 + 30 = 0 0 + -4k = -40 + 30 -4k = -40 + 30 Combine like terms: -40 + 30 = -10 -4k = -10 Divide each side by '-4'. k = 2.5 Simplifying k = 2.5
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