7(6-38v)+27(11+13v)=-1

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Solution for 7(6-38v)+27(11+13v)=-1 equation:


Simplifying
7(6 + -38v) + 27(11 + 13v) = -1
(6 * 7 + -38v * 7) + 27(11 + 13v) = -1
(42 + -266v) + 27(11 + 13v) = -1
42 + -266v + (11 * 27 + 13v * 27) = -1
42 + -266v + (297 + 351v) = -1

Reorder the terms:
42 + 297 + -266v + 351v = -1

Combine like terms: 42 + 297 = 339
339 + -266v + 351v = -1

Combine like terms: -266v + 351v = 85v
339 + 85v = -1

Solving
339 + 85v = -1

Solving for variable 'v'.

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

Add '-339' to each side of the equation.
339 + -339 + 85v = -1 + -339

Combine like terms: 339 + -339 = 0
0 + 85v = -1 + -339
85v = -1 + -339

Combine like terms: -1 + -339 = -340
85v = -340

Divide each side by '85'.
v = -4

Simplifying
v = -4

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