104=-11(v-10)+14(7v+12)

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Solution for 104=-11(v-10)+14(7v+12) equation:


Simplifying
104 = -11(v + -10) + 14(7v + 12)

Reorder the terms:
104 = -11(-10 + v) + 14(7v + 12)
104 = (-10 * -11 + v * -11) + 14(7v + 12)
104 = (110 + -11v) + 14(7v + 12)

Reorder the terms:
104 = 110 + -11v + 14(12 + 7v)
104 = 110 + -11v + (12 * 14 + 7v * 14)
104 = 110 + -11v + (168 + 98v)

Reorder the terms:
104 = 110 + 168 + -11v + 98v

Combine like terms: 110 + 168 = 278
104 = 278 + -11v + 98v

Combine like terms: -11v + 98v = 87v
104 = 278 + 87v

Solving
104 = 278 + 87v

Solving for variable 'v'.

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

Add '-87v' to each side of the equation.
104 + -87v = 278 + 87v + -87v

Combine like terms: 87v + -87v = 0
104 + -87v = 278 + 0
104 + -87v = 278

Add '-104' to each side of the equation.
104 + -104 + -87v = 278 + -104

Combine like terms: 104 + -104 = 0
0 + -87v = 278 + -104
-87v = 278 + -104

Combine like terms: 278 + -104 = 174
-87v = 174

Divide each side by '-87'.
v = -2

Simplifying
v = -2

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