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

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


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

Reorder the terms:
1 + 8(3 + -1z) = -3(z + -1) + -7
1 + (3 * 8 + -1z * 8) = -3(z + -1) + -7
1 + (24 + -8z) = -3(z + -1) + -7

Combine like terms: 1 + 24 = 25
25 + -8z = -3(z + -1) + -7

Reorder the terms:
25 + -8z = -3(-1 + z) + -7
25 + -8z = (-1 * -3 + z * -3) + -7
25 + -8z = (3 + -3z) + -7

Reorder the terms:
25 + -8z = 3 + -7 + -3z

Combine like terms: 3 + -7 = -4
25 + -8z = -4 + -3z

Solving
25 + -8z = -4 + -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.
25 + -8z + 3z = -4 + -3z + 3z

Combine like terms: -8z + 3z = -5z
25 + -5z = -4 + -3z + 3z

Combine like terms: -3z + 3z = 0
25 + -5z = -4 + 0
25 + -5z = -4

Add '-25' to each side of the equation.
25 + -25 + -5z = -4 + -25

Combine like terms: 25 + -25 = 0
0 + -5z = -4 + -25
-5z = -4 + -25

Combine like terms: -4 + -25 = -29
-5z = -29

Divide each side by '-5'.
z = 5.8

Simplifying
z = 5.8

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