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Simplifying -1 + k = 1 + -3(k + -2) Reorder the terms: -1 + k = 1 + -3(-2 + k) -1 + k = 1 + (-2 * -3 + k * -3) -1 + k = 1 + (6 + -3k) Combine like terms: 1 + 6 = 7 -1 + k = 7 + -3k Solving -1 + k = 7 + -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. -1 + k + 3k = 7 + -3k + 3k Combine like terms: k + 3k = 4k -1 + 4k = 7 + -3k + 3k Combine like terms: -3k + 3k = 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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