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Simplifying 5h + 5j + -2(5h + -4j + 7k) = 0 5h + 5j + (5h * -2 + -4j * -2 + 7k * -2) = 0 5h + 5j + (-10h + 8j + -14k) = 0 Reorder the terms: 5h + -10h + 5j + 8j + -14k = 0 Combine like terms: 5h + -10h = -5h -5h + 5j + 8j + -14k = 0 Combine like terms: 5j + 8j = 13j -5h + 13j + -14k = 0 Solving -5h + 13j + -14k = 0 Solving for variable 'h'. Move all terms containing h to the left, all other terms to the right. Add '-13j' to each side of the equation. -5h + 13j + -13j + -14k = 0 + -13j Combine like terms: 13j + -13j = 0 -5h + 0 + -14k = 0 + -13j -5h + -14k = 0 + -13j Remove the zero: -5h + -14k = -13j Add '14k' to each side of the equation. -5h + -14k + 14k = -13j + 14k Combine like terms: -14k + 14k = 0 -5h + 0 = -13j + 14k -5h = -13j + 14k Divide each side by '-5'. h = 2.6j + -2.8k Simplifying h = 2.6j + -2.8k
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