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Simplifying -4k + 2(5j + -6) = -3k + -39 Reorder the terms: -4k + 2(-6 + 5j) = -3k + -39 -4k + (-6 * 2 + 5j * 2) = -3k + -39 -4k + (-12 + 10j) = -3k + -39 Reorder the terms: -12 + 10j + -4k = -3k + -39 Reorder the terms: -12 + 10j + -4k = -39 + -3k Solving -12 + 10j + -4k = -39 + -3k Solving for variable 'j'. Move all terms containing j to the left, all other terms to the right. Add '12' to each side of the equation. -12 + 10j + 12 + -4k = -39 + 12 + -3k Reorder the terms: -12 + 12 + 10j + -4k = -39 + 12 + -3k Combine like terms: -12 + 12 = 0 0 + 10j + -4k = -39 + 12 + -3k 10j + -4k = -39 + 12 + -3k Combine like terms: -39 + 12 = -27 10j + -4k = -27 + -3k Add '4k' to each side of the equation. 10j + -4k + 4k = -27 + -3k + 4k Combine like terms: -4k + 4k = 0 10j + 0 = -27 + -3k + 4k 10j = -27 + -3k + 4k Combine like terms: -3k + 4k = 1k 10j = -27 + 1k Divide each side by '10'. j = -2.7 + 0.1k Simplifying j = -2.7 + 0.1k
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