-5=-8(3z-10)

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Solution for -5=-8(3z-10) equation:


Simplifying
-5 = -8(3z + -10)

Reorder the terms:
-5 = -8(-10 + 3z)
-5 = (-10 * -8 + 3z * -8)
-5 = (80 + -24z)

Solving
-5 = 80 + -24z

Solving for variable 'z'.

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

Add '24z' to each side of the equation.
-5 + 24z = 80 + -24z + 24z

Combine like terms: -24z + 24z = 0
-5 + 24z = 80 + 0
-5 + 24z = 80

Add '5' to each side of the equation.
-5 + 5 + 24z = 80 + 5

Combine like terms: -5 + 5 = 0
0 + 24z = 80 + 5
24z = 80 + 5

Combine like terms: 80 + 5 = 85
24z = 85

Divide each side by '24'.
z = 3.541666667

Simplifying
z = 3.541666667

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