How do you solve $3,330= 45( p + 35)$ ?

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Answer 1 · 2017-02-02T14:48:54

See the entire solution process below:

First, expand the terms in parenthesis on the right side of the equation:

$3330 = (45 xx p) + (45 xx 35)$

$3330 = 45p + 1575$

Next, subtract $color(red)(1575)$ from each side of the equation to isolate the $p$ term while keeping the equation balanced:

$3330 - color(red)(1575) = 45p + 1575 - color(red)(1575)$

$1755 = 45p + 0$

$1755 = 45p$

Now, divide each side of the equation by $color(red)(45)$ to solve for $p$ while keeping the equation balanced:

$1755/color(red)(45) = (45p)/color(red)(45)$

$39 = (color(red)(cancel(color(black)(45)))p)/cancel(color(red)(45))$

$39 = p$

$p = 39$

How do you solve 3,330= 45( p + 35)3,330= 45( p + 35)?