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Simplifying -1k + [-7] = 3k + 1 -1k + -7 = 3k + 1 Reorder the terms: -7 + -1k = 3k + 1 Reorder the terms: -7 + -1k = 1 + 3k Solving -7 + -1k = 1 + 3k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-3k' to each side of the equation. -7 + -1k + -3k = 1 + 3k + -3k Combine like terms: -1k + -3k = -4k -7 + -4k = 1 + 3k + -3k Combine like terms: 3k + -3k = 0 -7 + -4k = 1 + 0 -7 + -4k = 1 Add '7' to each side of the equation. -7 + 7 + -4k = 1 + 7 Combine like terms: -7 + 7 = 0 0 + -4k = 1 + 7 -4k = 1 + 7 Combine like terms: 1 + 7 = 8 -4k = 8 Divide each side by '-4'. k = -2 Simplifying k = -2
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