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Simplifying -3(5k + 1) + -1k = 61 Reorder the terms: -3(1 + 5k) + -1k = 61 (1 * -3 + 5k * -3) + -1k = 61 (-3 + -15k) + -1k = 61 Combine like terms: -15k + -1k = -16k -3 + -16k = 61 Solving -3 + -16k = 61 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '3' to each side of the equation. -3 + 3 + -16k = 61 + 3 Combine like terms: -3 + 3 = 0 0 + -16k = 61 + 3 -16k = 61 + 3 Combine like terms: 61 + 3 = 64 -16k = 64 Divide each side by '-16'. k = -4 Simplifying k = -4
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