5(v-5)-3=-6(-3v+5)-3v

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Solution for 5(v-5)-3=-6(-3v+5)-3v equation:


Simplifying
5(v + -5) + -3 = -6(-3v + 5) + -3v

Reorder the terms:
5(-5 + v) + -3 = -6(-3v + 5) + -3v
(-5 * 5 + v * 5) + -3 = -6(-3v + 5) + -3v
(-25 + 5v) + -3 = -6(-3v + 5) + -3v

Reorder the terms:
-25 + -3 + 5v = -6(-3v + 5) + -3v

Combine like terms: -25 + -3 = -28
-28 + 5v = -6(-3v + 5) + -3v

Reorder the terms:
-28 + 5v = -6(5 + -3v) + -3v
-28 + 5v = (5 * -6 + -3v * -6) + -3v
-28 + 5v = (-30 + 18v) + -3v

Combine like terms: 18v + -3v = 15v
-28 + 5v = -30 + 15v

Solving
-28 + 5v = -30 + 15v

Solving for variable 'v'.

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

Add '-15v' to each side of the equation.
-28 + 5v + -15v = -30 + 15v + -15v

Combine like terms: 5v + -15v = -10v
-28 + -10v = -30 + 15v + -15v

Combine like terms: 15v + -15v = 0
-28 + -10v = -30 + 0
-28 + -10v = -30

Add '28' to each side of the equation.
-28 + 28 + -10v = -30 + 28

Combine like terms: -28 + 28 = 0
0 + -10v = -30 + 28
-10v = -30 + 28

Combine like terms: -30 + 28 = -2
-10v = -2

Divide each side by '-10'.
v = 0.2

Simplifying
v = 0.2

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