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Simplifying 8j + -8 = 5(j + -2) Reorder the terms: -8 + 8j = 5(j + -2) Reorder the terms: -8 + 8j = 5(-2 + j) -8 + 8j = (-2 * 5 + j * 5) -8 + 8j = (-10 + 5j) Solving -8 + 8j = -10 + 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. -8 + 8j + -5j = -10 + 5j + -5j Combine like terms: 8j + -5j = 3j -8 + 3j = -10 + 5j + -5j Combine like terms: 5j + -5j = 0 -8 + 3j = -10 + 0 -8 + 3j = -10 Add '8' to each side of the equation. -8 + 8 + 3j = -10 + 8 Combine like terms: -8 + 8 = 0 0 + 3j = -10 + 8 3j = -10 + 8 Combine like terms: -10 + 8 = -2 3j = -2 Divide each side by '3'. j = -0.6666666667 Simplifying j = -0.6666666667
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