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Simplifying 4(j + -6) = 6(k + 2) Reorder the terms: 4(-6 + j) = 6(k + 2) (-6 * 4 + j * 4) = 6(k + 2) (-24 + 4j) = 6(k + 2) Reorder the terms: -24 + 4j = 6(2 + k) -24 + 4j = (2 * 6 + k * 6) -24 + 4j = (12 + 6k) Solving -24 + 4j = 12 + 6k 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 + 4j = 12 + 24 + 6k Combine like terms: -24 + 24 = 0 0 + 4j = 12 + 24 + 6k 4j = 12 + 24 + 6k Combine like terms: 12 + 24 = 36 4j = 36 + 6k Divide each side by '4'. j = 9 + 1.5k Simplifying j = 9 + 1.5k
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