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Simplifying 30 + 4k = -5(-1k + -7) Reorder the terms: 30 + 4k = -5(-7 + -1k) 30 + 4k = (-7 * -5 + -1k * -5) 30 + 4k = (35 + 5k) Solving 30 + 4k = 35 + 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 + 4k + -5k = 35 + 5k + -5k Combine like terms: 4k + -5k = -1k 30 + -1k = 35 + 5k + -5k Combine like terms: 5k + -5k = 0 30 + -1k = 35 + 0 30 + -1k = 35 Add '-30' to each side of the equation. 30 + -30 + -1k = 35 + -30 Combine like terms: 30 + -30 = 0 0 + -1k = 35 + -30 -1k = 35 + -30 Combine like terms: 35 + -30 = 5 -1k = 5 Divide each side by '-1'. k = -5 Simplifying k = -5
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