2(1[v-8]1)-2=-4(1[-6v+6]1)-7v

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Solution for 2(1[v-8]1)-2=-4(1[-6v+6]1)-7v equation:


Simplifying
2(1[v + -8] * 1) + -2 = -4(1[-6v + 6] * 1) + -7v

Reorder the terms:
2(1[-8 + v] * 1) + -2 = -4(1[-6v + 6] * 1) + -7v

Reorder the terms for easier multiplication:
2(1 * 1[-8 + v]) + -2 = -4(1[-6v + 6] * 1) + -7v

Multiply 1 * 1
2(1[-8 + v]) + -2 = -4(1[-6v + 6] * 1) + -7v
2([-8 * 1 + v * 1]) + -2 = -4(1[-6v + 6] * 1) + -7v
2([-8 + 1v]) + -2 = -4(1[-6v + 6] * 1) + -7v
(-8 * 2 + 1v * 2) + -2 = -4(1[-6v + 6] * 1) + -7v
(-16 + 2v) + -2 = -4(1[-6v + 6] * 1) + -7v

Reorder the terms:
-16 + -2 + 2v = -4(1[-6v + 6] * 1) + -7v

Combine like terms: -16 + -2 = -18
-18 + 2v = -4(1[-6v + 6] * 1) + -7v

Reorder the terms:
-18 + 2v = -4(1[6 + -6v] * 1) + -7v

Reorder the terms for easier multiplication:
-18 + 2v = -4(1 * 1[6 + -6v]) + -7v

Multiply 1 * 1
-18 + 2v = -4(1[6 + -6v]) + -7v
-18 + 2v = -4([6 * 1 + -6v * 1]) + -7v
-18 + 2v = -4([6 + -6v]) + -7v
-18 + 2v = (6 * -4 + -6v * -4) + -7v
-18 + 2v = (-24 + 24v) + -7v

Combine like terms: 24v + -7v = 17v
-18 + 2v = -24 + 17v

Solving
-18 + 2v = -24 + 17v

Solving for variable 'v'.

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

Add '-17v' to each side of the equation.
-18 + 2v + -17v = -24 + 17v + -17v

Combine like terms: 2v + -17v = -15v
-18 + -15v = -24 + 17v + -17v

Combine like terms: 17v + -17v = 0
-18 + -15v = -24 + 0
-18 + -15v = -24

Add '18' to each side of the equation.
-18 + 18 + -15v = -24 + 18

Combine like terms: -18 + 18 = 0
0 + -15v = -24 + 18
-15v = -24 + 18

Combine like terms: -24 + 18 = -6
-15v = -6

Divide each side by '-15'.
v = 0.4

Simplifying
v = 0.4

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