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After revolutions from the slaves when they attacked the plantations, France said that Haiti could be free because they didn't want to lose any more money.
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Bolívar tried to give independence to countries that were ruled by Spain Venezuela was one of them.
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Bolívar set Gran Columbia free with his army. they stopped the Spanish and now Gran Colombia is free.
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Peru was ruled by Spain when they took over the Incas. Jose de San Martin led them to victory against the Spanish.
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Hidalgo let his army of 80k - 100k beat the less but formidable Spanish and they gain their independence.