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Simplifying 6(j + -4) = 14 Reorder the terms: 6(-4 + j) = 14 (-4 * 6 + j * 6) = 14 (-24 + 6j) = 14 Solving -24 + 6j = 14 Solving for variable 'j'. Move all terms containing j to the left, all other terms to the right. Add '24' to each side of the equation. -24 + 24 + 6j = 14 + 24 Combine like terms: -24 + 24 = 0 0 + 6j = 14 + 24 6j = 14 + 24 Combine like terms: 14 + 24 = 38 6j = 38 Divide each side by '6'. j = 6.333333333 Simplifying j = 6.333333333
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