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Simplifying 37 = -3 + 5(j + -6) Reorder the terms: 37 = -3 + 5(-6 + j) 37 = -3 + (-6 * 5 + j * 5) 37 = -3 + (-30 + 5j) Combine like terms: -3 + -30 = -33 37 = -33 + 5j Solving 37 = -33 + 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. 37 + -5j = -33 + 5j + -5j Combine like terms: 5j + -5j = 0 37 + -5j = -33 + 0 37 + -5j = -33 Add '-37' to each side of the equation. 37 + -37 + -5j = -33 + -37 Combine like terms: 37 + -37 = 0 0 + -5j = -33 + -37 -5j = -33 + -37 Combine like terms: -33 + -37 = -70 -5j = -70 Divide each side by '-5'. j = 14 Simplifying j = 14
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