3(v+5)+25=8v-10

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Solution for 3(v+5)+25=8v-10 equation:


Simplifying
3(v + 5) + 25 = 8v + -10

Reorder the terms:
3(5 + v) + 25 = 8v + -10
(5 * 3 + v * 3) + 25 = 8v + -10
(15 + 3v) + 25 = 8v + -10

Reorder the terms:
15 + 25 + 3v = 8v + -10

Combine like terms: 15 + 25 = 40
40 + 3v = 8v + -10

Reorder the terms:
40 + 3v = -10 + 8v

Solving
40 + 3v = -10 + 8v

Solving for variable 'v'.

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

Add '-8v' to each side of the equation.
40 + 3v + -8v = -10 + 8v + -8v

Combine like terms: 3v + -8v = -5v
40 + -5v = -10 + 8v + -8v

Combine like terms: 8v + -8v = 0
40 + -5v = -10 + 0
40 + -5v = -10

Add '-40' to each side of the equation.
40 + -40 + -5v = -10 + -40

Combine like terms: 40 + -40 = 0
0 + -5v = -10 + -40
-5v = -10 + -40

Combine like terms: -10 + -40 = -50
-5v = -50

Divide each side by '-5'.
v = 10

Simplifying
v = 10

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