8+6(7z-3)=-3(z-7)+5

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Solution for 8+6(7z-3)=-3(z-7)+5 equation: 


Simplifying
8 + 6(7z + -3) = -3(z + -7) + 5

Reorder the terms:
8 + 6(-3 + 7z) = -3(z + -7) + 5
8 + (-3 * 6 + 7z * 6) = -3(z + -7) + 5
8 + (-18 + 42z) = -3(z + -7) + 5

Combine like terms: 8 + -18 = -10
-10 + 42z = -3(z + -7) + 5

Reorder the terms:
-10 + 42z = -3(-7 + z) + 5
-10 + 42z = (-7 * -3 + z * -3) + 5
-10 + 42z = (21 + -3z) + 5

Reorder the terms:
-10 + 42z = 21 + 5 + -3z

Combine like terms: 21 + 5 = 26
-10 + 42z = 26 + -3z

Solving
-10 + 42z = 26 + -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.
-10 + 42z + 3z = 26 + -3z + 3z

Combine like terms: 42z + 3z = 45z
-10 + 45z = 26 + -3z + 3z

Combine like terms: -3z + 3z = 0
-10 + 45z = 26 + 0
-10 + 45z = 26

Add '10' to each side of the equation.
-10 + 10 + 45z = 26 + 10

Combine like terms: -10 + 10 = 0
0 + 45z = 26 + 10
45z = 26 + 10

Combine like terms: 26 + 10 = 36
45z = 36

Divide each side by '45'.
z = 0.8

Simplifying
z = 0.8

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