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Simplifying 3h + -4k + 7 = 3k + -1h Reorder the terms: 7 + 3h + -4k = 3k + -1h Reorder the terms: 7 + 3h + -4k = -1h + 3k Solving 7 + 3h + -4k = -1h + 3k Solving for variable 'h'. Move all terms containing h to the left, all other terms to the right. Add 'h' to each side of the equation. 7 + 3h + h + -4k = -1h + h + 3k Combine like terms: 3h + h = 4h 7 + 4h + -4k = -1h + h + 3k Combine like terms: -1h + h = 0 7 + 4h + -4k = 0 + 3k 7 + 4h + -4k = 3k Add '-7' to each side of the equation. 7 + 4h + -7 + -4k = -7 + 3k Reorder the terms: 7 + -7 + 4h + -4k = -7 + 3k Combine like terms: 7 + -7 = 0 0 + 4h + -4k = -7 + 3k 4h + -4k = -7 + 3k Add '4k' to each side of the equation. 4h + -4k + 4k = -7 + 3k + 4k Combine like terms: -4k + 4k = 0 4h + 0 = -7 + 3k + 4k 4h = -7 + 3k + 4k Combine like terms: 3k + 4k = 7k 4h = -7 + 7k Divide each side by '4'. h = -1.75 + 1.75k Simplifying h = -1.75 + 1.75k
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