How do you simplify $3(5c+4d)+6(d-2c)$ ?

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Answer 1 · 2017-04-29T23:25:58

See the entire solution process below:

First, eliminate the parenthesis by multiplying each term within the parenthesis by the term outside the parenthesis:

$color(red)(3)(5c + 4d) + color(blue)(6)(d - 2c) =>$

$(color(red)(3) * 5c) + (color(red)(3) * 4d) + (color(blue)(6) * d) - (color(blue)(6) * 2c) =>$

$15c + 12d + 6d - 12c$

Next, group like terms:

$15c - 12c + 12d + 6d$

Now, combine like terms:

$(15 - 12)c + (12 + 6)d$

$3c + 18d$

How do you simplify 3(5c+4d)+6(d-2c)3(5c+4d)+6(d-2c)?