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Simplifying 4k + -12 + j = 2k + 8 Reorder the terms: -12 + j + 4k = 2k + 8 Reorder the terms: -12 + j + 4k = 8 + 2k Solving -12 + j + 4k = 8 + 2k 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 + j + 12 + 4k = 8 + 12 + 2k Reorder the terms: -12 + 12 + j + 4k = 8 + 12 + 2k Combine like terms: -12 + 12 = 0 0 + j + 4k = 8 + 12 + 2k j + 4k = 8 + 12 + 2k Combine like terms: 8 + 12 = 20 j + 4k = 20 + 2k Add '-4k' to each side of the equation. j + 4k + -4k = 20 + 2k + -4k Combine like terms: 4k + -4k = 0 j + 0 = 20 + 2k + -4k j = 20 + 2k + -4k Combine like terms: 2k + -4k = -2k j = 20 + -2k Simplifying j = 20 + -2k
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