To solve this inequality, let's simplify the expression step by step:
9w - 36 < -4(2 - 4w)
Distribute -4 to 2 and -4w:
9w - 36 < -8 + 16w
Combine like terms:
9w - 16w < -8 + 36
-7w < 28
Divide both sides by -7, remembering to reverse the inequality because we are dividing by a negative number:
w > 28/-7
w > -4
Therefore, the solution to the inequality is w > -4.
9w - 36 < - 4 (2 - 4w)
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