4(5z-1)-2(z+6)=7(z+1)

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Solution for 4(5z-1)-2(z+6)=7(z+1) equation:


Simplifying
4(5z + -1) + -2(z + 6) = 7(z + 1)

Reorder the terms:
4(-1 + 5z) + -2(z + 6) = 7(z + 1)
(-1 * 4 + 5z * 4) + -2(z + 6) = 7(z + 1)
(-4 + 20z) + -2(z + 6) = 7(z + 1)

Reorder the terms:
-4 + 20z + -2(6 + z) = 7(z + 1)
-4 + 20z + (6 * -2 + z * -2) = 7(z + 1)
-4 + 20z + (-12 + -2z) = 7(z + 1)

Reorder the terms:
-4 + -12 + 20z + -2z = 7(z + 1)

Combine like terms: -4 + -12 = -16
-16 + 20z + -2z = 7(z + 1)

Combine like terms: 20z + -2z = 18z
-16 + 18z = 7(z + 1)

Reorder the terms:
-16 + 18z = 7(1 + z)
-16 + 18z = (1 * 7 + z * 7)
-16 + 18z = (7 + 7z)

Solving
-16 + 18z = 7 + 7z

Solving for variable 'z'.

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

Add '-7z' to each side of the equation.
-16 + 18z + -7z = 7 + 7z + -7z

Combine like terms: 18z + -7z = 11z
-16 + 11z = 7 + 7z + -7z

Combine like terms: 7z + -7z = 0
-16 + 11z = 7 + 0
-16 + 11z = 7

Add '16' to each side of the equation.
-16 + 16 + 11z = 7 + 16

Combine like terms: -16 + 16 = 0
0 + 11z = 7 + 16
11z = 7 + 16

Combine like terms: 7 + 16 = 23
11z = 23

Divide each side by '11'.
z = 2.090909091

Simplifying
z = 2.090909091

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