6(-44v+49)=27(v-34)+48

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Solution for 6(-44v+49)=27(v-34)+48 equation:


Simplifying
6(-44v + 49) = 27(v + -34) + 48

Reorder the terms:
6(49 + -44v) = 27(v + -34) + 48
(49 * 6 + -44v * 6) = 27(v + -34) + 48
(294 + -264v) = 27(v + -34) + 48

Reorder the terms:
294 + -264v = 27(-34 + v) + 48
294 + -264v = (-34 * 27 + v * 27) + 48
294 + -264v = (-918 + 27v) + 48

Reorder the terms:
294 + -264v = -918 + 48 + 27v

Combine like terms: -918 + 48 = -870
294 + -264v = -870 + 27v

Solving
294 + -264v = -870 + 27v

Solving for variable 'v'.

Move all terms containing v to the left, all other terms to the right.

Add '-27v' to each side of the equation.
294 + -264v + -27v = -870 + 27v + -27v

Combine like terms: -264v + -27v = -291v
294 + -291v = -870 + 27v + -27v

Combine like terms: 27v + -27v = 0
294 + -291v = -870 + 0
294 + -291v = -870

Add '-294' to each side of the equation.
294 + -294 + -291v = -870 + -294

Combine like terms: 294 + -294 = 0
0 + -291v = -870 + -294
-291v = -870 + -294

Combine like terms: -870 + -294 = -1164
-291v = -1164

Divide each side by '-291'.
v = 4

Simplifying
v = 4

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