2z-3(2+1)=-(7z+3)+2

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Solution for 2z-3(2+1)=-(7z+3)+2 equation:


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

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

Multiply -3 * 3
2z + -9 = -1(7z + 3) + 2

Reorder the terms:
-9 + 2z = -1(7z + 3) + 2

Reorder the terms:
-9 + 2z = -1(3 + 7z) + 2
-9 + 2z = (3 * -1 + 7z * -1) + 2
-9 + 2z = (-3 + -7z) + 2

Reorder the terms:
-9 + 2z = -3 + 2 + -7z

Combine like terms: -3 + 2 = -1
-9 + 2z = -1 + -7z

Solving
-9 + 2z = -1 + -7z

Solving for variable 'z'.

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

Add '7z' to each side of the equation.
-9 + 2z + 7z = -1 + -7z + 7z

Combine like terms: 2z + 7z = 9z
-9 + 9z = -1 + -7z + 7z

Combine like terms: -7z + 7z = 0
-9 + 9z = -1 + 0
-9 + 9z = -1

Add '9' to each side of the equation.
-9 + 9 + 9z = -1 + 9

Combine like terms: -9 + 9 = 0
0 + 9z = -1 + 9
9z = -1 + 9

Combine like terms: -1 + 9 = 8
9z = 8

Divide each side by '9'.
z = 0.8888888889

Simplifying
z = 0.8888888889

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