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Simplifying -3j + 8j + -21 = 7j + 7 Reorder the terms: -21 + -3j + 8j = 7j + 7 Combine like terms: -3j + 8j = 5j -21 + 5j = 7j + 7 Reorder the terms: -21 + 5j = 7 + 7j Solving -21 + 5j = 7 + 7j Solving for variable 'j'. Move all terms containing j to the left, all other terms to the right. Add '-7j' to each side of the equation. -21 + 5j + -7j = 7 + 7j + -7j Combine like terms: 5j + -7j = -2j -21 + -2j = 7 + 7j + -7j Combine like terms: 7j + -7j = 0 -21 + -2j = 7 + 0 -21 + -2j = 7 Add '21' to each side of the equation. -21 + 21 + -2j = 7 + 21 Combine like terms: -21 + 21 = 0 0 + -2j = 7 + 21 -2j = 7 + 21 Combine like terms: 7 + 21 = 28 -2j = 28 Divide each side by '-2'. j = -14 Simplifying j = -14
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