4z-(2z-5)=3-4(2z+3)

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Solution for 4z-(2z-5)=3-4(2z+3) equation:


Simplifying
4z + -1(2z + -5) = 3 + -4(2z + 3)

Reorder the terms:
4z + -1(-5 + 2z) = 3 + -4(2z + 3)
4z + (-5 * -1 + 2z * -1) = 3 + -4(2z + 3)
4z + (5 + -2z) = 3 + -4(2z + 3)

Reorder the terms:
5 + 4z + -2z = 3 + -4(2z + 3)

Combine like terms: 4z + -2z = 2z
5 + 2z = 3 + -4(2z + 3)

Reorder the terms:
5 + 2z = 3 + -4(3 + 2z)
5 + 2z = 3 + (3 * -4 + 2z * -4)
5 + 2z = 3 + (-12 + -8z)

Combine like terms: 3 + -12 = -9
5 + 2z = -9 + -8z

Solving
5 + 2z = -9 + -8z

Solving for variable 'z'.

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

Add '8z' to each side of the equation.
5 + 2z + 8z = -9 + -8z + 8z

Combine like terms: 2z + 8z = 10z
5 + 10z = -9 + -8z + 8z

Combine like terms: -8z + 8z = 0
5 + 10z = -9 + 0
5 + 10z = -9

Add '-5' to each side of the equation.
5 + -5 + 10z = -9 + -5

Combine like terms: 5 + -5 = 0
0 + 10z = -9 + -5
10z = -9 + -5

Combine like terms: -9 + -5 = -14
10z = -14

Divide each side by '10'.
z = -1.4

Simplifying
z = -1.4

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