The equation is equivalent to 3(2m + 7) = -5(6 + m) will be m = -51/11.
Those expressions who might look different but their simplified forms are same expressions are called equivalent expressions.
In order to derive equivalent expressions of some expression, we can either make it look more complex or simple. Usually, we simplify it.
WE have been given an equation as;
3(2m + 7) = -5(6 + m)
We have to find an equation which is equivalent to given equation.
Solving it to find the equivalent expressions;
Open bracket;
6m + 21 = -30 - 5m
Collect the like terms on one side;
6m + 5m = -30 - 21
Subtraction property of equality;
11m = -51
m = -51 /11
Therefore, the equation is equivalent to 3(2m + 7) = -5(6 + m) will be m = -51/11.
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