The equivalent expression for the given expression is 28p + 14q + 21r.
An expression that gives the same value as the original expression when the same value of a variable is substituted is said to be an equivalent expression.
An equivalent expression is simplified to the original expression by using the distributive property.
The distributive property is
a(b + c) = ab + ac
The given expression is 7(4p + 2q + 3r)
Applying the distributive property,
7(4p + 2q + 3r) = 7(4p) + 7(2q) + 7(3r)
⇒ 28p + 14q + 21r
Thus, the equivalent expression for the given expression is 28p + 14q + 21r.
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7(4p+2q+3r)=7(4p+2q+3r)
Apply distributive law
So
This is the required expression