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Simplifying 561 = 16(j + 3) + 17 Reorder the terms: 561 = 16(3 + j) + 17 561 = (3 * 16 + j * 16) + 17 561 = (48 + 16j) + 17 Reorder the terms: 561 = 48 + 17 + 16j Combine like terms: 48 + 17 = 65 561 = 65 + 16j Solving 561 = 65 + 16j Solving for variable 'j'. Move all terms containing j to the left, all other terms to the right. Add '-16j' to each side of the equation. 561 + -16j = 65 + 16j + -16j Combine like terms: 16j + -16j = 0 561 + -16j = 65 + 0 561 + -16j = 65 Add '-561' to each side of the equation. 561 + -561 + -16j = 65 + -561 Combine like terms: 561 + -561 = 0 0 + -16j = 65 + -561 -16j = 65 + -561 Combine like terms: 65 + -561 = -496 -16j = -496 Divide each side by '-16'. j = 31 Simplifying j = 31
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