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

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


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

Reorder the terms:
1 + 8(-2 + 6z) = 3(6z + -2) + -8
1 + (-2 * 8 + 6z * 8) = 3(6z + -2) + -8
1 + (-16 + 48z) = 3(6z + -2) + -8

Combine like terms: 1 + -16 = -15
-15 + 48z = 3(6z + -2) + -8

Reorder the terms:
-15 + 48z = 3(-2 + 6z) + -8
-15 + 48z = (-2 * 3 + 6z * 3) + -8
-15 + 48z = (-6 + 18z) + -8

Reorder the terms:
-15 + 48z = -6 + -8 + 18z

Combine like terms: -6 + -8 = -14
-15 + 48z = -14 + 18z

Solving
-15 + 48z = -14 + 18z

Solving for variable 'z'.

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

Add '-18z' to each side of the equation.
-15 + 48z + -18z = -14 + 18z + -18z

Combine like terms: 48z + -18z = 30z
-15 + 30z = -14 + 18z + -18z

Combine like terms: 18z + -18z = 0
-15 + 30z = -14 + 0
-15 + 30z = -14

Add '15' to each side of the equation.
-15 + 15 + 30z = -14 + 15

Combine like terms: -15 + 15 = 0
0 + 30z = -14 + 15
30z = -14 + 15

Combine like terms: -14 + 15 = 1
30z = 1

Divide each side by '30'.
z = 0.03333333333

Simplifying
z = 0.03333333333

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