2z-(4z+3)=6z+3(z+4)

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Solution for 2z-(4z+3)=6z+3(z+4) equation:


Simplifying
2z + -1(4z + 3) = 6z + 3(z + 4)

Reorder the terms:
2z + -1(3 + 4z) = 6z + 3(z + 4)
2z + (3 * -1 + 4z * -1) = 6z + 3(z + 4)
2z + (-3 + -4z) = 6z + 3(z + 4)

Reorder the terms:
-3 + 2z + -4z = 6z + 3(z + 4)

Combine like terms: 2z + -4z = -2z
-3 + -2z = 6z + 3(z + 4)

Reorder the terms:
-3 + -2z = 6z + 3(4 + z)
-3 + -2z = 6z + (4 * 3 + z * 3)
-3 + -2z = 6z + (12 + 3z)

Reorder the terms:
-3 + -2z = 12 + 6z + 3z

Combine like terms: 6z + 3z = 9z
-3 + -2z = 12 + 9z

Solving
-3 + -2z = 12 + 9z

Solving for variable 'z'.

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

Add '-9z' to each side of the equation.
-3 + -2z + -9z = 12 + 9z + -9z

Combine like terms: -2z + -9z = -11z
-3 + -11z = 12 + 9z + -9z

Combine like terms: 9z + -9z = 0
-3 + -11z = 12 + 0
-3 + -11z = 12

Add '3' to each side of the equation.
-3 + 3 + -11z = 12 + 3

Combine like terms: -3 + 3 = 0
0 + -11z = 12 + 3
-11z = 12 + 3

Combine like terms: 12 + 3 = 15
-11z = 15

Divide each side by '-11'.
z = -1.363636364

Simplifying
z = -1.363636364

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