4z+1=2(5z-7)

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Solution for 4z+1=2(5z-7) equation:


Simplifying
4z + 1 = 2(5z + -7)

Reorder the terms:
1 + 4z = 2(5z + -7)

Reorder the terms:
1 + 4z = 2(-7 + 5z)
1 + 4z = (-7 * 2 + 5z * 2)
1 + 4z = (-14 + 10z)

Solving
1 + 4z = -14 + 10z

Solving for variable 'z'.

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

Add '-10z' to each side of the equation.
1 + 4z + -10z = -14 + 10z + -10z

Combine like terms: 4z + -10z = -6z
1 + -6z = -14 + 10z + -10z

Combine like terms: 10z + -10z = 0
1 + -6z = -14 + 0
1 + -6z = -14

Add '-1' to each side of the equation.
1 + -1 + -6z = -14 + -1

Combine like terms: 1 + -1 = 0
0 + -6z = -14 + -1
-6z = -14 + -1

Combine like terms: -14 + -1 = -15
-6z = -15

Divide each side by '-6'.
z = 2.5

Simplifying
z = 2.5

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