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Simplifying 4k + -8 = 5(k + 7) Reorder the terms: -8 + 4k = 5(k + 7) Reorder the terms: -8 + 4k = 5(7 + k) -8 + 4k = (7 * 5 + k * 5) -8 + 4k = (35 + 5k) Solving -8 + 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. -8 + 4k + -5k = 35 + 5k + -5k Combine like terms: 4k + -5k = -1k -8 + -1k = 35 + 5k + -5k Combine like terms: 5k + -5k = 0 -8 + -1k = 35 + 0 -8 + -1k = 35 Add '8' to each side of the equation. -8 + 8 + -1k = 35 + 8 Combine like terms: -8 + 8 = 0 0 + -1k = 35 + 8 -1k = 35 + 8 Combine like terms: 35 + 8 = 43 -1k = 43 Divide each side by '-1'. k = -43 Simplifying k = -43
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