7-(3z-2)=1-4z

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Solution for 7-(3z-2)=1-4z equation:


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

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

Combine like terms: 7 + 2 = 9
9 + -3z = 1 + -4z

Solving
9 + -3z = 1 + -4z

Solving for variable 'z'.

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

Add '4z' to each side of the equation.
9 + -3z + 4z = 1 + -4z + 4z

Combine like terms: -3z + 4z = 1z
9 + 1z = 1 + -4z + 4z

Combine like terms: -4z + 4z = 0
9 + 1z = 1 + 0
9 + 1z = 1

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

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

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

Divide each side by '1'.
z = -8

Simplifying
z = -8

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