-(2z-4)-(4z-4)+3=-8(z-2)-(3z+2)+7

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Solution for -(2z-4)-(4z-4)+3=-8(z-2)-(3z+2)+7 equation: 


Simplifying
-1(2z + -4) + -1(4z + -4) + 3 = -8(z + -2) + -1(3z + 2) + 7

Reorder the terms:
-1(-4 + 2z) + -1(4z + -4) + 3 = -8(z + -2) + -1(3z + 2) + 7
(-4 * -1 + 2z * -1) + -1(4z + -4) + 3 = -8(z + -2) + -1(3z + 2) + 7
(4 + -2z) + -1(4z + -4) + 3 = -8(z + -2) + -1(3z + 2) + 7

Reorder the terms:
4 + -2z + -1(-4 + 4z) + 3 = -8(z + -2) + -1(3z + 2) + 7
4 + -2z + (-4 * -1 + 4z * -1) + 3 = -8(z + -2) + -1(3z + 2) + 7
4 + -2z + (4 + -4z) + 3 = -8(z + -2) + -1(3z + 2) + 7

Reorder the terms:
4 + 4 + 3 + -2z + -4z = -8(z + -2) + -1(3z + 2) + 7

Combine like terms: 4 + 4 = 8
8 + 3 + -2z + -4z = -8(z + -2) + -1(3z + 2) + 7

Combine like terms: 8 + 3 = 11
11 + -2z + -4z = -8(z + -2) + -1(3z + 2) + 7

Combine like terms: -2z + -4z = -6z
11 + -6z = -8(z + -2) + -1(3z + 2) + 7

Reorder the terms:
11 + -6z = -8(-2 + z) + -1(3z + 2) + 7
11 + -6z = (-2 * -8 + z * -8) + -1(3z + 2) + 7
11 + -6z = (16 + -8z) + -1(3z + 2) + 7

Reorder the terms:
11 + -6z = 16 + -8z + -1(2 + 3z) + 7
11 + -6z = 16 + -8z + (2 * -1 + 3z * -1) + 7
11 + -6z = 16 + -8z + (-2 + -3z) + 7

Reorder the terms:
11 + -6z = 16 + -2 + 7 + -8z + -3z

Combine like terms: 16 + -2 = 14
11 + -6z = 14 + 7 + -8z + -3z

Combine like terms: 14 + 7 = 21
11 + -6z = 21 + -8z + -3z

Combine like terms: -8z + -3z = -11z
11 + -6z = 21 + -11z

Solving
11 + -6z = 21 + -11z

Solving for variable 'z'.

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

Add '11z' to each side of the equation.
11 + -6z + 11z = 21 + -11z + 11z

Combine like terms: -6z + 11z = 5z
11 + 5z = 21 + -11z + 11z

Combine like terms: -11z + 11z = 0
11 + 5z = 21 + 0
11 + 5z = 21

Add '-11' to each side of the equation.
11 + -11 + 5z = 21 + -11

Combine like terms: 11 + -11 = 0
0 + 5z = 21 + -11
5z = 21 + -11

Combine like terms: 21 + -11 = 10
5z = 10

Divide each side by '5'.
z = 2

Simplifying
z = 2

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