1.5(v+2)+3(v+5)=1

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Solution for 1.5(v+2)+3(v+5)=1 equation: 


Simplifying
1.5(v + 2) + 3(v + 5) = 1

Reorder the terms:
1.5(2 + v) + 3(v + 5) = 1
(2 * 1.5 + v * 1.5) + 3(v + 5) = 1
(3 + 1.5v) + 3(v + 5) = 1

Reorder the terms:
3 + 1.5v + 3(5 + v) = 1
3 + 1.5v + (5 * 3 + v * 3) = 1
3 + 1.5v + (15 + 3v) = 1

Reorder the terms:
3 + 15 + 1.5v + 3v = 1

Combine like terms: 3 + 15 = 18
18 + 1.5v + 3v = 1

Combine like terms: 1.5v + 3v = 4.5v
18 + 4.5v = 1

Solving
18 + 4.5v = 1

Solving for variable 'v'.

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

Add '-18' to each side of the equation.
18 + -18 + 4.5v = 1 + -18

Combine like terms: 18 + -18 = 0
0 + 4.5v = 1 + -18
4.5v = 1 + -18

Combine like terms: 1 + -18 = -17
4.5v = -17

Divide each side by '4.5'.
v = -3.777777778

Simplifying
v = -3.777777778

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