1+3(-4z+7)=-(z-8)-4

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Solution for 1+3(-4z+7)=-(z-8)-4 equation: 


Simplifying
1 + 3(-4z + 7) = -1(z + -8) + -4

Reorder the terms:
1 + 3(7 + -4z) = -1(z + -8) + -4
1 + (7 * 3 + -4z * 3) = -1(z + -8) + -4
1 + (21 + -12z) = -1(z + -8) + -4

Combine like terms: 1 + 21 = 22
22 + -12z = -1(z + -8) + -4

Reorder the terms:
22 + -12z = -1(-8 + z) + -4
22 + -12z = (-8 * -1 + z * -1) + -4
22 + -12z = (8 + -1z) + -4

Reorder the terms:
22 + -12z = 8 + -4 + -1z

Combine like terms: 8 + -4 = 4
22 + -12z = 4 + -1z

Solving
22 + -12z = 4 + -1z

Solving for variable 'z'.

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

Add 'z' to each side of the equation.
22 + -12z + z = 4 + -1z + z

Combine like terms: -12z + z = -11z
22 + -11z = 4 + -1z + z

Combine like terms: -1z + z = 0
22 + -11z = 4 + 0
22 + -11z = 4

Add '-22' to each side of the equation.
22 + -22 + -11z = 4 + -22

Combine like terms: 22 + -22 = 0
0 + -11z = 4 + -22
-11z = 4 + -22

Combine like terms: 4 + -22 = -18
-11z = -18

Divide each side by '-11'.
z = 1.636363636

Simplifying
z = 1.636363636

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