How do you simplify $4 (14 c - 10 d) - 6 (d + 4 c)$ $4(14c-10d)-6(d+4c)$ ?

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Answer 1 · 2017-08-24T00:32:26

The Distributive Property is what you will use first.

4(14c - 10d) - 6(d + 4c) = $4 \cdot 14 c - 4 \cdot 10 d - 6 \cdot d - 6 \cdot 4 c$ $4*14c - 4*10d - 6*d - 6*4c$

Simplify: 56c - 40d - 6d - 24c

Combine like terms: 56c - 24c - 40d - 6d = 32c - 46d

Answer 2 · 2017-08-24T00:35:47

$32 c - 46 d$ $32c-46d$

Distribute $4$ $4$ to $14 c$ $14c$ and $- 10 c$ $-10c$ and distribute $- 6$ $-6$ to $d$ $d$ and $4 c$ $4c$

$[4 \cdot 14 c + 4 \cdot - 10 d] [- 6 \cdot d +$ $[4*14c+4*-10d][-6*d+$ $- 6 \cdot 4 c]$ $-6*4c]$

$56 c - 40 d - 6 d - 24 c$ $56c-40d-6d-24c$

Identify and combine like terms:

$56 c - 40 d - 6 d - 24 c$ $color(red)(56c)color(blue)(-40d-6d)color(red)(-24c)$

$32 c - 46 d$ $32c-46d$

How do you simplify 4(14c-10d)-6(d+4c)4(14c−10d)−6(d+4c)4(14c-10d)-6(d+4c)?