Question 220325


{{{4(m+3)+7=4m+19}}} Start with the given equation.



{{{4m+12+7=4m+19}}} Distribute.



{{{4m+19=4m+19}}} Combine like terms on the left side.



{{{4m=4m+19-19}}} Subtract {{{19}}} from both sides.



{{{4m-4m=19-19}}} Subtract {{{4m}}} from both sides.



{{{0m=19-19}}} Combine like terms on the left side.



{{{0m=0}}} Combine like terms on the right side.



{{{0=0}}} Simplify.



Since this equation is <font size=4><b>always</b></font> true for any m value, this means m can equal any number. 



So there are an infinite number of solutions.