2(8-7v)-(7+4v)=27

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Solution for 2(8-7v)-(7+4v)=27 equation:


Simplifying
2(8 + -7v) + -1(7 + 4v) = 27
(8 * 2 + -7v * 2) + -1(7 + 4v) = 27
(16 + -14v) + -1(7 + 4v) = 27
16 + -14v + (7 * -1 + 4v * -1) = 27
16 + -14v + (-7 + -4v) = 27

Reorder the terms:
16 + -7 + -14v + -4v = 27

Combine like terms: 16 + -7 = 9
9 + -14v + -4v = 27

Combine like terms: -14v + -4v = -18v
9 + -18v = 27

Solving
9 + -18v = 27

Solving for variable 'v'.

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

Add '-9' to each side of the equation.
9 + -9 + -18v = 27 + -9

Combine like terms: 9 + -9 = 0
0 + -18v = 27 + -9
-18v = 27 + -9

Combine like terms: 27 + -9 = 18
-18v = 18

Divide each side by '-18'.
v = -1

Simplifying
v = -1

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