5-4(2z+1)=(-6-3)-8

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Solution for 5-4(2z+1)=(-6-3)-8 equation: 


Simplifying
5 + -4(2z + 1) = (-6 + -3) + -8

Reorder the terms:
5 + -4(1 + 2z) = (-6 + -3) + -8
5 + (1 * -4 + 2z * -4) = (-6 + -3) + -8
5 + (-4 + -8z) = (-6 + -3) + -8

Combine like terms: 5 + -4 = 1
1 + -8z = (-6 + -3) + -8

Combine like terms: -6 + -3 = -9
1 + -8z = (-9) + -8
1 + -8z = -9 + -8

Combine like terms: -9 + -8 = -17
1 + -8z = -17

Solving
1 + -8z = -17

Solving for variable 'z'.

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

Add '-1' to each side of the equation.
1 + -1 + -8z = -17 + -1

Combine like terms: 1 + -1 = 0
0 + -8z = -17 + -1
-8z = -17 + -1

Combine like terms: -17 + -1 = -18
-8z = -18

Divide each side by '-8'.
z = 2.25

Simplifying
z = 2.25

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