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Simplifying 14(j + -2k) + -3j(4 + -7) = 0 (j * 14 + -2k * 14) + -3j(4 + -7) = 0 (14j + -28k) + -3j(4 + -7) = 0 Combine like terms: 4 + -7 = -3 14j + -28k + -3j(-3) = 0 Reorder the terms for easier multiplication: 14j + -28k + -3 * -3j = 0 Multiply -3 * -3 14j + -28k + 9j = 0 Reorder the terms: 14j + 9j + -28k = 0 Combine like terms: 14j + 9j = 23j 23j + -28k = 0 Solving 23j + -28k = 0 Solving for variable 'j'. Move all terms containing j to the left, all other terms to the right. Add '28k' to each side of the equation. 23j + -28k + 28k = 0 + 28k Combine like terms: -28k + 28k = 0 23j + 0 = 0 + 28k 23j = 0 + 28k Remove the zero: 23j = 28k Divide each side by '23'. j = 1.217391304k Simplifying j = 1.217391304k
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