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Simplifying 11.97 = 3.99(j + 1) + 3.99 Reorder the terms: 11.97 = 3.99(1 + j) + 3.99 11.97 = (1 * 3.99 + j * 3.99) + 3.99 11.97 = (3.99 + 3.99j) + 3.99 Reorder the terms: 11.97 = 3.99 + 3.99 + 3.99j Combine like terms: 3.99 + 3.99 = 7.98 11.97 = 7.98 + 3.99j Solving 11.97 = 7.98 + 3.99j Solving for variable 'j'. Move all terms containing j to the left, all other terms to the right. Add '-3.99j' to each side of the equation. 11.97 + -3.99j = 7.98 + 3.99j + -3.99j Combine like terms: 3.99j + -3.99j = 0.00 11.97 + -3.99j = 7.98 + 0.00 11.97 + -3.99j = 7.98 Add '-11.97' to each side of the equation. 11.97 + -11.97 + -3.99j = 7.98 + -11.97 Combine like terms: 11.97 + -11.97 = 0.00 0.00 + -3.99j = 7.98 + -11.97 -3.99j = 7.98 + -11.97 Combine like terms: 7.98 + -11.97 = -3.99 -3.99j = -3.99 Divide each side by '-3.99'. j = 1 Simplifying j = 1
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