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Simplifying 5k + -15 + j = 3j + -5 Reorder the terms: -15 + j + 5k = 3j + -5 Reorder the terms: -15 + j + 5k = -5 + 3j Solving -15 + j + 5k = -5 + 3j Solving for variable 'j'. Move all terms containing j to the left, all other terms to the right. Add '-3j' to each side of the equation. -15 + j + -3j + 5k = -5 + 3j + -3j Combine like terms: j + -3j = -2j -15 + -2j + 5k = -5 + 3j + -3j Combine like terms: 3j + -3j = 0 -15 + -2j + 5k = -5 + 0 -15 + -2j + 5k = -5 Add '15' to each side of the equation. -15 + -2j + 15 + 5k = -5 + 15 Reorder the terms: -15 + 15 + -2j + 5k = -5 + 15 Combine like terms: -15 + 15 = 0 0 + -2j + 5k = -5 + 15 -2j + 5k = -5 + 15 Combine like terms: -5 + 15 = 10 -2j + 5k = 10 Add '-5k' to each side of the equation. -2j + 5k + -5k = 10 + -5k Combine like terms: 5k + -5k = 0 -2j + 0 = 10 + -5k -2j = 10 + -5k Divide each side by '-2'. j = -5 + 2.5k Simplifying j = -5 + 2.5k
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