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Simplifying (2h + -7k) + -1(-4h + -5k) = 0 Remove parenthesis around (2h + -7k) 2h + -7k + -1(-4h + -5k) = 0 2h + -7k + (-4h * -1 + -5k * -1) = 0 2h + -7k + (4h + 5k) = 0 Reorder the terms: 2h + 4h + -7k + 5k = 0 Combine like terms: 2h + 4h = 6h 6h + -7k + 5k = 0 Combine like terms: -7k + 5k = -2k 6h + -2k = 0 Solving 6h + -2k = 0 Solving for variable 'h'. Move all terms containing h to the left, all other terms to the right. Add '2k' to each side of the equation. 6h + -2k + 2k = 0 + 2k Combine like terms: -2k + 2k = 0 6h + 0 = 0 + 2k 6h = 0 + 2k Remove the zero: 6h = 2k Divide each side by '6'. h = 0.3333333333k Simplifying h = 0.3333333333k
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