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Simplifying 8j + -10(j + 1) = 80 Reorder the terms: 8j + -10(1 + j) = 80 8j + (1 * -10 + j * -10) = 80 8j + (-10 + -10j) = 80 Reorder the terms: -10 + 8j + -10j = 80 Combine like terms: 8j + -10j = -2j -10 + -2j = 80 Solving -10 + -2j = 80 Solving for variable 'j'. Move all terms containing j to the left, all other terms to the right. Add '10' to each side of the equation. -10 + 10 + -2j = 80 + 10 Combine like terms: -10 + 10 = 0 0 + -2j = 80 + 10 -2j = 80 + 10 Combine like terms: 80 + 10 = 90 -2j = 90 Divide each side by '-2'. j = -45 Simplifying j = -45
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