How do you simplify $- 5 (c + d) - 4 d + 5 c - d$ $-5 (c + d) -4d + 5c - d$ ?

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Answer 1 · 2016-04-01T17:36:15

$= - 10 d$ $= color(green)(- 10d)$

$- 5 (c + d) - 4 d + 5 c - d$ $color(blue)( - 5) ( c+d) -4d + 5c - d$

$= (- 5) \cdot (c) + (- 5) \cdot (d) - 4 d + 5 c - d$ $= color(blue)( (- 5)) * ( c) + color(blue)( (-5) ) * (d) -4d + 5c - d$

$= - 5 c - 5 d - 4 d + 5 c - d$ $= color(green)(- 5 c) -5 d -4d + color(green)(5c) - d$

$= cancelcolor(green)(- 5 c) -5 d -4d + cancel color(green)(5c) - d$

$= -5 d -4d - d$

$= color(green)(- 10d)$

How do you simplify -5 (c + d) -4d + 5c - d−5(c+d)−4d+5c−d-5 (c + d) -4d + 5c - d?