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[tex]3x - 16 = 6x + 7[/tex]
[tex]6x + 7 = 3x - 16[/tex]
Subtract sides 7
[tex]6x + 7 - 7 = 3x - 16 - 7[/tex]
Simplification
[tex]6x = 3x - 23[/tex]
Subtract sides 3x
[tex] - 3x + 6x = - 3x + 3x - 23[/tex]
Simplification
[tex]3x = - 23[/tex]
Divide sides by 3
[tex] \frac{3}{3} x = - \frac{23}{3} \\ [/tex]
Simplification
[tex]x = - \frac{23}{3} \\ [/tex]
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[tex]6x + 7 = 11y - 32[/tex]
Put the value of x
[tex]6( - \frac{23}{3} ) + 7 = 11y - 32 \\ [/tex]
[tex]2( - 23) + 7 = 11y - 32[/tex]
[tex] - 46 + 7 = 11y - 32[/tex]
[tex] - 39 = 11y - 32[/tex]
[tex]11y - 32 = - 39[/tex]
Add sides 32
[tex]11y - 32 + 32 = - 39 + 32[/tex]
[tex]11y = - 7[/tex]
Divide sides by 11
[tex] \frac{11}{11} y = - \frac{7}{11} \\ [/tex]
Simplification
[tex]y = - \frac{7}{11} \\ [/tex]
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