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Simplifying 65 = 5(j + 7) Reorder the terms: 65 = 5(7 + j) 65 = (7 * 5 + j * 5) 65 = (35 + 5j) Solving 65 = 35 + 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. 65 + -5j = 35 + 5j + -5j Combine like terms: 5j + -5j = 0 65 + -5j = 35 + 0 65 + -5j = 35 Add '-65' to each side of the equation. 65 + -65 + -5j = 35 + -65 Combine like terms: 65 + -65 = 0 0 + -5j = 35 + -65 -5j = 35 + -65 Combine like terms: 35 + -65 = -30 -5j = -30 Divide each side by '-5'. j = 6 Simplifying j = 6
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