10-(3z-2)=7-4z

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Solution for 10-(3z-2)=7-4z equation:


Simplifying
10 + -1(3z + -2) = 7 + -4z

Reorder the terms:
10 + -1(-2 + 3z) = 7 + -4z
10 + (-2 * -1 + 3z * -1) = 7 + -4z
10 + (2 + -3z) = 7 + -4z

Combine like terms: 10 + 2 = 12
12 + -3z = 7 + -4z

Solving
12 + -3z = 7 + -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.
12 + -3z + 4z = 7 + -4z + 4z

Combine like terms: -3z + 4z = 1z
12 + 1z = 7 + -4z + 4z

Combine like terms: -4z + 4z = 0
12 + 1z = 7 + 0
12 + 1z = 7

Add '-12' to each side of the equation.
12 + -12 + 1z = 7 + -12

Combine like terms: 12 + -12 = 0
0 + 1z = 7 + -12
1z = 7 + -12

Combine like terms: 7 + -12 = -5
1z = -5

Divide each side by '1'.
z = -5

Simplifying
z = -5

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