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Simplifying -4 + -1k = -4k + -4(3k + 1) Reorder the terms: -4 + -1k = -4k + -4(1 + 3k) -4 + -1k = -4k + (1 * -4 + 3k * -4) -4 + -1k = -4k + (-4 + -12k) Reorder the terms: -4 + -1k = -4 + -4k + -12k Combine like terms: -4k + -12k = -16k -4 + -1k = -4 + -16k Add '4' to each side of the equation. -4 + 4 + -1k = -4 + 4 + -16k Combine like terms: -4 + 4 = 0 0 + -1k = -4 + 4 + -16k -1k = -4 + 4 + -16k Combine like terms: -4 + 4 = 0 -1k = 0 + -16k -1k = -16k Solving -1k = -16k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '16k' to each side of the equation. -1k + 16k = -16k + 16k Combine like terms: -1k + 16k = 15k 15k = -16k + 16k Combine like terms: -16k + 16k = 0 15k = 0 Divide each side by '15'. k = 0 Simplifying k = 0
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