8-3(6z+4)=2(-6z-7)+5

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Solution for 8-3(6z+4)=2(-6z-7)+5 equation:


Simplifying
8 + -3(6z + 4) = 2(-6z + -7) + 5

Reorder the terms:
8 + -3(4 + 6z) = 2(-6z + -7) + 5
8 + (4 * -3 + 6z * -3) = 2(-6z + -7) + 5
8 + (-12 + -18z) = 2(-6z + -7) + 5

Combine like terms: 8 + -12 = -4
-4 + -18z = 2(-6z + -7) + 5

Reorder the terms:
-4 + -18z = 2(-7 + -6z) + 5
-4 + -18z = (-7 * 2 + -6z * 2) + 5
-4 + -18z = (-14 + -12z) + 5

Reorder the terms:
-4 + -18z = -14 + 5 + -12z

Combine like terms: -14 + 5 = -9
-4 + -18z = -9 + -12z

Solving
-4 + -18z = -9 + -12z

Solving for variable 'z'.

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

Add '12z' to each side of the equation.
-4 + -18z + 12z = -9 + -12z + 12z

Combine like terms: -18z + 12z = -6z
-4 + -6z = -9 + -12z + 12z

Combine like terms: -12z + 12z = 0
-4 + -6z = -9 + 0
-4 + -6z = -9

Add '4' to each side of the equation.
-4 + 4 + -6z = -9 + 4

Combine like terms: -4 + 4 = 0
0 + -6z = -9 + 4
-6z = -9 + 4

Combine like terms: -9 + 4 = -5
-6z = -5

Divide each side by '-6'.
z = 0.8333333333

Simplifying
z = 0.8333333333

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