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Simplifying 3k + -3(1 + k) = 1 + 4k 3k + (1 * -3 + k * -3) = 1 + 4k 3k + (-3 + -3k) = 1 + 4k Reorder the terms: -3 + 3k + -3k = 1 + 4k Combine like terms: 3k + -3k = 0 -3 + 0 = 1 + 4k -3 = 1 + 4k Solving -3 = 1 + 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. -3 + -4k = 1 + 4k + -4k Combine like terms: 4k + -4k = 0 -3 + -4k = 1 + 0 -3 + -4k = 1 Add '3' to each side of the equation. -3 + 3 + -4k = 1 + 3 Combine like terms: -3 + 3 = 0 0 + -4k = 1 + 3 -4k = 1 + 3 Combine like terms: 1 + 3 = 4 -4k = 4 Divide each side by '-4'. k = -1 Simplifying k = -1
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