Answer
$m = 7$
Work Step by Step
$-4(3)^{m} + 4300 = (3)^{m} - 6635$
$-4(3)^{m} - 1(3)^{m} = -4300 - 6635$
$(-4 - 1)(3)^{m} = -10935$
$-5(3)^{m} = -10935$
$(3)^{m} = 2187$
$(3)^{m} = (3)^{7}$
$m = 7$
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