minus, 8, left parenthesis, minus, 8, c, minus, 6, d, right parenthesis, minus, 0, point, 2, d, minus, 2, left parenthesis, minus, 7, d, plus, 3, c, right parenthesis−8(−8c−6d)−0.2d−2(−7d+3c)
Question
minus, 8, left parenthesis, minus, 8, c, minus, 6, d, right parenthesis, minus, 0, point, 2, d, minus, 2, left parenthesis, minus, 7, d, plus, 3, c, right parenthesis−8(−8c−6d)−0.2d−2(−7d+3c)
Solution
Sure, let's solve this step by step:
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Distribute the -8 into the first parenthesis: -8 * -8c = 64c and -8 * -6d = 48d. So, -8(−8c−6d) becomes 64c + 48d.
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Distribute the -2 into the second parenthesis: -2 * -7d = 14d and -2 * 3c = -6c. So, -2(−7d+3c) becomes 14d - 6c.
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Now, substitute these results back into the original equation: 64c + 48d - 0.2d - 14d + 6c.
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Combine like terms: (64c + 6c) + (48d - 0.2d - 14d) = 70c + 33.8d.
So, the simplified form of the given expression is 70c + 33.8d.
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