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Simplifying 1 = 4k + -7 Reorder the terms: 1 = -7 + 4k Solving 1 = -7 + 4k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-4k' to each side of the equation. 1 + -4k = -7 + 4k + -4k Combine like terms: 4k + -4k = 0 1 + -4k = -7 + 0 1 + -4k = -7 Add '-1' to each side of the equation. 1 + -1 + -4k = -7 + -1 Combine like terms: 1 + -1 = 0 0 + -4k = -7 + -1 -4k = -7 + -1 Combine like terms: -7 + -1 = -8 -4k = -8 Divide each side by '-4'. k = 2 Simplifying k = 2
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