How do you simplify $8 (r + 7 t) - 4 (13 t + 5 r)$ $8(r+7t)-4(13t+5r)$ ?

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Answer 1 · 2017-02-03T16:25:48

See the entire simplification process below:

First, expand the terms within parenthesis:

$(8 \times r) + (8 \times 7 t) - (4 \times 13 t) - (4 \times 5 r)$ $(8 xx r) + (8 xx 7t) - (4 xx 13t) - (4 xx 5r)$

$8 r + 56 t - 52 t - 20 r$ $8r + 56t - 52t - 20r$

Next, group like terms:

$8 r - 20 r + 56 t - 52 t$ $8r - 20r + 56t - 52t$

Now, combine like terms:

$(8 - 20) r + (56 - 52) t$ $(8 - 20)r + (56 - 52)t$

$- 12 r + 4 t$ $-12r + 4t$ or $4 t - 12 r$ $4t - 12r$

How do you simplify 8(r+7t)−4(13t+5r)8(r+7t)-4(13t+5r)?