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

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


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

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

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

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

Multiply -1 * 4
-1 + -4z = 3z + -4

Reorder the terms:
-1 + -4z = -4 + 3z

Solving
-1 + -4z = -4 + 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.
-1 + -4z + -3z = -4 + 3z + -3z

Combine like terms: -4z + -3z = -7z
-1 + -7z = -4 + 3z + -3z

Combine like terms: 3z + -3z = 0
-1 + -7z = -4 + 0
-1 + -7z = -4

Add '1' to each side of the equation.
-1 + 1 + -7z = -4 + 1

Combine like terms: -1 + 1 = 0
0 + -7z = -4 + 1
-7z = -4 + 1

Combine like terms: -4 + 1 = -3
-7z = -3

Divide each side by '-7'.
z = 0.4285714286

Simplifying
z = 0.4285714286

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