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Simplifying 4h + 6k + -7(3h + -2k) = 0 4h + 6k + (3h * -7 + -2k * -7) = 0 4h + 6k + (-21h + 14k) = 0 Reorder the terms: 4h + -21h + 6k + 14k = 0 Combine like terms: 4h + -21h = -17h -17h + 6k + 14k = 0 Combine like terms: 6k + 14k = 20k -17h + 20k = 0 Solving -17h + 20k = 0 Solving for variable 'h'. Move all terms containing h to the left, all other terms to the right. Add '-20k' to each side of the equation. -17h + 20k + -20k = 0 + -20k Combine like terms: 20k + -20k = 0 -17h + 0 = 0 + -20k -17h = 0 + -20k Remove the zero: -17h = -20k Divide each side by '-17'. h = 1.176470588k Simplifying h = 1.176470588k
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