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Simplifying (3h + -4j + 7k) + -6(-3h + 6j + -2k) = 0 Remove parenthesis around (3h + -4j + 7k) 3h + -4j + 7k + -6(-3h + 6j + -2k) = 0 3h + -4j + 7k + (-3h * -6 + 6j * -6 + -2k * -6) = 0 3h + -4j + 7k + (18h + -36j + 12k) = 0 Reorder the terms: 3h + 18h + -4j + -36j + 7k + 12k = 0 Combine like terms: 3h + 18h = 21h 21h + -4j + -36j + 7k + 12k = 0 Combine like terms: -4j + -36j = -40j 21h + -40j + 7k + 12k = 0 Combine like terms: 7k + 12k = 19k 21h + -40j + 19k = 0 Solving 21h + -40j + 19k = 0 Solving for variable 'h'. Move all terms containing h to the left, all other terms to the right. Add '40j' to each side of the equation. 21h + -40j + 40j + 19k = 0 + 40j Combine like terms: -40j + 40j = 0 21h + 0 + 19k = 0 + 40j 21h + 19k = 0 + 40j Remove the zero: 21h + 19k = 40j Add '-19k' to each side of the equation. 21h + 19k + -19k = 40j + -19k Combine like terms: 19k + -19k = 0 21h + 0 = 40j + -19k 21h = 40j + -19k Divide each side by '21'. h = 1.904761905j + -0.9047619048k Simplifying h = 1.904761905j + -0.9047619048k
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