Answer:
[tex]w=3[/tex]
Step-by-step explanation:
[tex]9 = -7w + 12w -6[/tex]
Start by combining like terms ([tex]-7w+12w[/tex]):
[tex]9=5w-6[/tex]
Add [tex]6[/tex] to both sides of the equation:
[tex]15=5w[/tex]
Divide both sides of the equation by the coefficient of [tex]w[/tex], which is [tex]5[/tex]:
[tex]3=w[/tex]
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Check your work by substituting the solved value of [tex]w[/tex] ([tex]3[/tex]), into the initial equation:
[tex]9 = -7(3) + 12(3) -6[/tex]
Multiply:
[tex]9=-21+36-6[/tex]
Combine like terms:
[tex]9=9[/tex]
Since both sides of the equation are equal, our answer is correct!
