8-(2z-7)=5-3z

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Solution for 8-(2z-7)=5-3z equation:


Simplifying
8 + -1(2z + -7) = 5 + -3z

Reorder the terms:
8 + -1(-7 + 2z) = 5 + -3z
8 + (-7 * -1 + 2z * -1) = 5 + -3z
8 + (7 + -2z) = 5 + -3z

Combine like terms: 8 + 7 = 15
15 + -2z = 5 + -3z

Solving
15 + -2z = 5 + -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.
15 + -2z + 3z = 5 + -3z + 3z

Combine like terms: -2z + 3z = 1z
15 + 1z = 5 + -3z + 3z

Combine like terms: -3z + 3z = 0
15 + 1z = 5 + 0
15 + 1z = 5

Add '-15' to each side of the equation.
15 + -15 + 1z = 5 + -15

Combine like terms: 15 + -15 = 0
0 + 1z = 5 + -15
1z = 5 + -15

Combine like terms: 5 + -15 = -10
1z = -10

Divide each side by '1'.
z = -10

Simplifying
z = -10

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