3(v-10)+4(v-18)=10

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Solution for 3(v-10)+4(v-18)=10 equation: 


Simplifying
3(v + -10) + 4(v + -18) = 10

Reorder the terms:
3(-10 + v) + 4(v + -18) = 10
(-10 * 3 + v * 3) + 4(v + -18) = 10
(-30 + 3v) + 4(v + -18) = 10

Reorder the terms:
-30 + 3v + 4(-18 + v) = 10
-30 + 3v + (-18 * 4 + v * 4) = 10
-30 + 3v + (-72 + 4v) = 10

Reorder the terms:
-30 + -72 + 3v + 4v = 10

Combine like terms: -30 + -72 = -102
-102 + 3v + 4v = 10

Combine like terms: 3v + 4v = 7v
-102 + 7v = 10

Solving
-102 + 7v = 10

Solving for variable 'v'.

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

Add '102' to each side of the equation.
-102 + 102 + 7v = 10 + 102

Combine like terms: -102 + 102 = 0
0 + 7v = 10 + 102
7v = 10 + 102

Combine like terms: 10 + 102 = 112
7v = 112

Divide each side by '7'.
v = 16

Simplifying
v = 16

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