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Simplifying 14(j + -10) = 2(25 + j) Reorder the terms: 14(-10 + j) = 2(25 + j) (-10 * 14 + j * 14) = 2(25 + j) (-140 + 14j) = 2(25 + j) -140 + 14j = (25 * 2 + j * 2) -140 + 14j = (50 + 2j) Solving -140 + 14j = 50 + 2j Solving for variable 'j'. Move all terms containing j to the left, all other terms to the right. Add '-2j' to each side of the equation. -140 + 14j + -2j = 50 + 2j + -2j Combine like terms: 14j + -2j = 12j -140 + 12j = 50 + 2j + -2j Combine like terms: 2j + -2j = 0 -140 + 12j = 50 + 0 -140 + 12j = 50 Add '140' to each side of the equation. -140 + 140 + 12j = 50 + 140 Combine like terms: -140 + 140 = 0 0 + 12j = 50 + 140 12j = 50 + 140 Combine like terms: 50 + 140 = 190 12j = 190 Divide each side by '12'. j = 15.83333333 Simplifying j = 15.83333333
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