Math

Question Simplify the expression 3(9x+5)+5-3(9x+5)+5 by using the distributive property.

Studdy Solution

STEP 1

Assumptions1. The expression is 3(9x+5)+5-3(9x+5)+5 . We need to use the distributive property to remove the parentheses3. The distributive property states that a(b+c)=ab+aca(b+c) = ab + ac

STEP 2

First, we apply the distributive property to the expression (9x+5)-(9x+5).
(9x+5)=9x+5-(9x+5) = - \cdot9x + - \cdot5

STEP 3

Now, we simplify the multiplication.
39x+35=27x15-3 \cdot9x + -3 \cdot5 = -27x -15

STEP 4

Finally, we add the $$ that was outside the parentheses to the result.
27x15+=27x10-27x -15 + = -27x -10The expression 3(9x+)+-3(9x+)+ simplifies to 27x10-27x -10 using the distributive property.

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