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Simplifying 13 = 4(j + 2) + -7 Reorder the terms: 13 = 4(2 + j) + -7 13 = (2 * 4 + j * 4) + -7 13 = (8 + 4j) + -7 Reorder the terms: 13 = 8 + -7 + 4j Combine like terms: 8 + -7 = 1 13 = 1 + 4j Solving 13 = 1 + 4j Solving for variable 'j'. Move all terms containing j to the left, all other terms to the right. Add '-4j' to each side of the equation. 13 + -4j = 1 + 4j + -4j Combine like terms: 4j + -4j = 0 13 + -4j = 1 + 0 13 + -4j = 1 Add '-13' to each side of the equation. 13 + -13 + -4j = 1 + -13 Combine like terms: 13 + -13 = 0 0 + -4j = 1 + -13 -4j = 1 + -13 Combine like terms: 1 + -13 = -12 -4j = -12 Divide each side by '-4'. j = 3 Simplifying j = 3
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