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Simplifying 4 + 3(j + 1) = 4j + 6 Reorder the terms: 4 + 3(1 + j) = 4j + 6 4 + (1 * 3 + j * 3) = 4j + 6 4 + (3 + 3j) = 4j + 6 Combine like terms: 4 + 3 = 7 7 + 3j = 4j + 6 Reorder the terms: 7 + 3j = 6 + 4j Solving 7 + 3j = 6 + 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. 7 + 3j + -4j = 6 + 4j + -4j Combine like terms: 3j + -4j = -1j 7 + -1j = 6 + 4j + -4j Combine like terms: 4j + -4j = 0 7 + -1j = 6 + 0 7 + -1j = 6 Add '-7' to each side of the equation. 7 + -7 + -1j = 6 + -7 Combine like terms: 7 + -7 = 0 0 + -1j = 6 + -7 -1j = 6 + -7 Combine like terms: 6 + -7 = -1 -1j = -1 Divide each side by '-1'. j = 1 Simplifying j = 1
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