The equation is .
Apply distributive property: .
(Multiply:
)
(Multiply:
)
Apply distributive property: .
(Multiply:
)
(Multiply:
)
(Each side cancel common terms)
(Add:
)
(Subtract 14w from each side)
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(Apply commutative property:
)
(Apply additive inverse property:
)
(Apply additive identity property:
)
(Subtract:
)
(Divide each side by negative 6)
(Cancel common terms)
Check:
\To check, substitute in equation
.
(Substitute
)
Apply multiplicative identity property: .
(Subtract:
)
(Add:
)
(Evaluate powers:
)
Apply multiplicative identity property: .
(Add:
)
(Add:
)
(Multiply:
)
The equation is true.
The value of .