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Simplifying 3j + -1(k + 5) = 16 + -4k Reorder the terms: 3j + -1(5 + k) = 16 + -4k 3j + (5 * -1 + k * -1) = 16 + -4k 3j + (-5 + -1k) = 16 + -4k Reorder the terms: -5 + 3j + -1k = 16 + -4k Solving -5 + 3j + -1k = 16 + -4k Solving for variable 'j'. Move all terms containing j to the left, all other terms to the right. Add '5' to each side of the equation. -5 + 3j + 5 + -1k = 16 + 5 + -4k Reorder the terms: -5 + 5 + 3j + -1k = 16 + 5 + -4k Combine like terms: -5 + 5 = 0 0 + 3j + -1k = 16 + 5 + -4k 3j + -1k = 16 + 5 + -4k Combine like terms: 16 + 5 = 21 3j + -1k = 21 + -4k Add 'k' to each side of the equation. 3j + -1k + k = 21 + -4k + k Combine like terms: -1k + k = 0 3j + 0 = 21 + -4k + k 3j = 21 + -4k + k Combine like terms: -4k + k = -3k 3j = 21 + -3k Divide each side by '3'. j = 7 + -1k Simplifying j = 7 + -1k
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