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

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


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

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

Reorder the terms:
6 + 8z + -6(6 + 5z) = -8z + -4
6 + 8z + (6 * -6 + 5z * -6) = -8z + -4
6 + 8z + (-36 + -30z) = -8z + -4

Reorder the terms:
6 + -36 + 8z + -30z = -8z + -4

Combine like terms: 6 + -36 = -30
-30 + 8z + -30z = -8z + -4

Combine like terms: 8z + -30z = -22z
-30 + -22z = -8z + -4

Reorder the terms:
-30 + -22z = -4 + -8z

Solving
-30 + -22z = -4 + -8z

Solving for variable 'z'.

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

Add '8z' to each side of the equation.
-30 + -22z + 8z = -4 + -8z + 8z

Combine like terms: -22z + 8z = -14z
-30 + -14z = -4 + -8z + 8z

Combine like terms: -8z + 8z = 0
-30 + -14z = -4 + 0
-30 + -14z = -4

Add '30' to each side of the equation.
-30 + 30 + -14z = -4 + 30

Combine like terms: -30 + 30 = 0
0 + -14z = -4 + 30
-14z = -4 + 30

Combine like terms: -4 + 30 = 26
-14z = 26

Divide each side by '-14'.
z = -1.857142857

Simplifying
z = -1.857142857

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