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Simplifying 8 + 5(j + -5) + 3j + -1 = 0 Reorder the terms: 8 + 5(-5 + j) + 3j + -1 = 0 8 + (-5 * 5 + j * 5) + 3j + -1 = 0 8 + (-25 + 5j) + 3j + -1 = 0 Reorder the terms: 8 + -25 + -1 + 5j + 3j = 0 Combine like terms: 8 + -25 = -17 -17 + -1 + 5j + 3j = 0 Combine like terms: -17 + -1 = -18 -18 + 5j + 3j = 0 Combine like terms: 5j + 3j = 8j -18 + 8j = 0 Solving -18 + 8j = 0 Solving for variable 'j'. Move all terms containing j to the left, all other terms to the right. Add '18' to each side of the equation. -18 + 18 + 8j = 0 + 18 Combine like terms: -18 + 18 = 0 0 + 8j = 0 + 18 8j = 0 + 18 Combine like terms: 0 + 18 = 18 8j = 18 Divide each side by '8'. j = 2.25 Simplifying j = 2.25
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