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To solve the equation
, we first isolate
by multiplying both sides by the reciprocal of
, which is
. This gives us
. Simplifying this yields
.
Next, let’s consider this as a real-world scenario: Imagine you’re a baker trying to scale a recipe for your famous chocolate chip cookies. If the original recipe makes 6 cookies and you want to make 140 cookies, realizing that you need to multiply the ingredient quantity by
can help you quickly calculate how much flour and chocolate chips you’ll need—no more guesswork!
When tackling equations like this, a common mistake is to forget to switch the operation upon multiplying by the reciprocal. Always double-check your steps, and don’t rush! It’s easy to multiply incorrectly or misplace a decimal point. Taking your time can prevent little errors from becoming big mistakes.