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Simplifying 4(2j + 3) = -3(j + -1) + 31 Reorder the terms: 4(3 + 2j) = -3(j + -1) + 31 (3 * 4 + 2j * 4) = -3(j + -1) + 31 (12 + 8j) = -3(j + -1) + 31 Reorder the terms: 12 + 8j = -3(-1 + j) + 31 12 + 8j = (-1 * -3 + j * -3) + 31 12 + 8j = (3 + -3j) + 31 Reorder the terms: 12 + 8j = 3 + 31 + -3j Combine like terms: 3 + 31 = 34 12 + 8j = 34 + -3j Solving 12 + 8j = 34 + -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. 12 + 8j + 3j = 34 + -3j + 3j Combine like terms: 8j + 3j = 11j 12 + 11j = 34 + -3j + 3j Combine like terms: -3j + 3j = 0 12 + 11j = 34 + 0 12 + 11j = 34 Add '-12' to each side of the equation. 12 + -12 + 11j = 34 + -12 Combine like terms: 12 + -12 = 0 0 + 11j = 34 + -12 11j = 34 + -12 Combine like terms: 34 + -12 = 22 11j = 22 Divide each side by '11'. j = 2 Simplifying j = 2
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