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Simplifying 3(j + 1) + -5 = 4j + -2 Reorder the terms: 3(1 + j) + -5 = 4j + -2 (1 * 3 + j * 3) + -5 = 4j + -2 (3 + 3j) + -5 = 4j + -2 Reorder the terms: 3 + -5 + 3j = 4j + -2 Combine like terms: 3 + -5 = -2 -2 + 3j = 4j + -2 Reorder the terms: -2 + 3j = -2 + 4j Add '2' to each side of the equation. -2 + 2 + 3j = -2 + 2 + 4j Combine like terms: -2 + 2 = 0 0 + 3j = -2 + 2 + 4j 3j = -2 + 2 + 4j Combine like terms: -2 + 2 = 0 3j = 0 + 4j 3j = 4j Solving 3j = 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. 3j + -4j = 4j + -4j Combine like terms: 3j + -4j = -1j -1j = 4j + -4j Combine like terms: 4j + -4j = 0 -1j = 0 Divide each side by '-1'. j = 0 Simplifying j = 0
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