2[-4+1(-2z+3)]=3z-3

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Solution for 2[-4+1(-2z+3)]=3z-3 equation:


Simplifying
2[-4 + 1(-2z + 3)] = 3z + -3

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

Combine like terms: -4 + 3 = -1
2[-1 + -2z] = 3z + -3
[-1 * 2 + -2z * 2] = 3z + -3
[-2 + -4z] = 3z + -3

Reorder the terms:
-2 + -4z = -3 + 3z

Solving
-2 + -4z = -3 + 3z

Solving for variable 'z'.

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

Add '-3z' to each side of the equation.
-2 + -4z + -3z = -3 + 3z + -3z

Combine like terms: -4z + -3z = -7z
-2 + -7z = -3 + 3z + -3z

Combine like terms: 3z + -3z = 0
-2 + -7z = -3 + 0
-2 + -7z = -3

Add '2' to each side of the equation.
-2 + 2 + -7z = -3 + 2

Combine like terms: -2 + 2 = 0
0 + -7z = -3 + 2
-7z = -3 + 2

Combine like terms: -3 + 2 = -1
-7z = -1

Divide each side by '-7'.
z = 0.1428571429

Simplifying
z = 0.1428571429

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