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Simplifying 30 = 5(j + 1) Reorder the terms: 30 = 5(1 + j) 30 = (1 * 5 + j * 5) 30 = (5 + 5j) Solving 30 = 5 + 5j Solving for variable 'j'. Move all terms containing j to the left, all other terms to the right. Add '-5j' to each side of the equation. 30 + -5j = 5 + 5j + -5j Combine like terms: 5j + -5j = 0 30 + -5j = 5 + 0 30 + -5j = 5 Add '-30' to each side of the equation. 30 + -30 + -5j = 5 + -30 Combine like terms: 30 + -30 = 0 0 + -5j = 5 + -30 -5j = 5 + -30 Combine like terms: 5 + -30 = -25 -5j = -25 Divide each side by '-5'. j = 5 Simplifying j = 5
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