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Simplifying 6k + -5j + 10 + -1(-2k) + -4j + -12 = 0 Remove parenthesis around (-2k) 6k + -5j + 10 + -1 * -2k + -4j + -12 = 0 Multiply -1 * -2 6k + -5j + 10 + 2k + -4j + -12 = 0 Reorder the terms: 10 + -12 + -5j + -4j + 6k + 2k = 0 Combine like terms: 10 + -12 = -2 -2 + -5j + -4j + 6k + 2k = 0 Combine like terms: -5j + -4j = -9j -2 + -9j + 6k + 2k = 0 Combine like terms: 6k + 2k = 8k -2 + -9j + 8k = 0 Solving -2 + -9j + 8k = 0 Solving for variable 'j'. Move all terms containing j to the left, all other terms to the right. Add '2' to each side of the equation. -2 + -9j + 2 + 8k = 0 + 2 Reorder the terms: -2 + 2 + -9j + 8k = 0 + 2 Combine like terms: -2 + 2 = 0 0 + -9j + 8k = 0 + 2 -9j + 8k = 0 + 2 Combine like terms: 0 + 2 = 2 -9j + 8k = 2 Add '-8k' to each side of the equation. -9j + 8k + -8k = 2 + -8k Combine like terms: 8k + -8k = 0 -9j + 0 = 2 + -8k -9j = 2 + -8k Divide each side by '-9'. j = -0.2222222222 + 0.8888888889k Simplifying j = -0.2222222222 + 0.8888888889k
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