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Simplifying 4h + k + -16 = h + 2k + -11 Reorder the terms: -16 + 4h + k = h + 2k + -11 Reorder the terms: -16 + 4h + k = -11 + h + 2k Solving -16 + 4h + k = -11 + h + 2k Solving for variable 'h'. Move all terms containing h to the left, all other terms to the right. Add '-1h' to each side of the equation. -16 + 4h + -1h + k = -11 + h + -1h + 2k Combine like terms: 4h + -1h = 3h -16 + 3h + k = -11 + h + -1h + 2k Combine like terms: h + -1h = 0 -16 + 3h + k = -11 + 0 + 2k -16 + 3h + k = -11 + 2k Add '16' to each side of the equation. -16 + 3h + 16 + k = -11 + 16 + 2k Reorder the terms: -16 + 16 + 3h + k = -11 + 16 + 2k Combine like terms: -16 + 16 = 0 0 + 3h + k = -11 + 16 + 2k 3h + k = -11 + 16 + 2k Combine like terms: -11 + 16 = 5 3h + k = 5 + 2k Add '-1k' to each side of the equation. 3h + k + -1k = 5 + 2k + -1k Combine like terms: k + -1k = 0 3h + 0 = 5 + 2k + -1k 3h = 5 + 2k + -1k Combine like terms: 2k + -1k = 1k 3h = 5 + 1k Divide each side by '3'. h = 1.666666667 + 0.3333333333k Simplifying h = 1.666666667 + 0.3333333333k
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