How do you simplify $2 (4 k + 3) + (9 k + 10)$ $2(4k+3)+(9k+10)$ ?

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Answer 1 · 2017-03-16T00:39:59

Remove the parentheses using the distributive property and then combine like terms.

$17 k + 16$ $17k + 16$

$2 (4 k + 3)) + (9 k + 10)$ $2(4k+3)) +(9k+10)$

$= 2 \times (4 k + 3) + 9 k + 10$ $= color(red)(2 xx (4k + 3)) +9k +10" "$ gives the expression

$= 8 k + 6 + 9 k + 10$ $= color(red)( 8k + 6) +9k +10" "$

$= 8 k + 6 + 9 k + 10$ $=8k + 6 + 9k + 10" "$ combining like terms gives

$= 8 k + 9 k + 6 + 10$ $=8k + 9k + 6 + 10" "$ commutative property of addition:

$= 17 k + 16$ $= 17k + 16$

How do you simplify 2(4k+3)+(9k+10)2(4k+3)+(9k+10)2(4k+3)+(9k+10)?