1. Solving One-Step Equations
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How can you isolate d on one side of the equation?
d=-18
To solve the equation, we have to isolate d on one side. By multiplying both sides of the equation by 92, we can eliminate 29 and isolate the variable.
LHS * 9/2=RHS* 9/2
Commutative Property of Multiplication
a/b* b/a=1
a*b/c= a* b/c
a/c* b = a* b/c
(- a)b = - ab
Calculate quotient
Rearrange equation
Therefore, d=-18 is the solution to the equation. To check that we have the correct solution, we can substitute d=-18 into the original equation and simplify.
d= -18
a/c* b = a* b/c
(- a)b = - ab
Calculate quotient
Since the left-hand side and right-hand side are equal, we have the correct solution.