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

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


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

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

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

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

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

Combine like terms: 1 + -7 = -6
25 + -8z = -6 + -3z

Solving
25 + -8z = -6 + -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 = -6 + -3z + 3z

Combine like terms: -8z + 3z = -5z
25 + -5z = -6 + -3z + 3z

Combine like terms: -3z + 3z = 0
25 + -5z = -6 + 0
25 + -5z = -6

Add '-25' to each side of the equation.
25 + -25 + -5z = -6 + -25

Combine like terms: 25 + -25 = 0
0 + -5z = -6 + -25
-5z = -6 + -25

Combine like terms: -6 + -25 = -31
-5z = -31

Divide each side by '-5'.
z = 6.2

Simplifying
z = 6.2

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