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

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


Simplifying
3(5z + 4) + -2(4z + -6) = 0

Reorder the terms:
3(4 + 5z) + -2(4z + -6) = 0
(4 * 3 + 5z * 3) + -2(4z + -6) = 0
(12 + 15z) + -2(4z + -6) = 0

Reorder the terms:
12 + 15z + -2(-6 + 4z) = 0
12 + 15z + (-6 * -2 + 4z * -2) = 0
12 + 15z + (12 + -8z) = 0

Reorder the terms:
12 + 12 + 15z + -8z = 0

Combine like terms: 12 + 12 = 24
24 + 15z + -8z = 0

Combine like terms: 15z + -8z = 7z
24 + 7z = 0

Solving
24 + 7z = 0

Solving for variable 'z'.

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

Add '-24' to each side of the equation.
24 + -24 + 7z = 0 + -24

Combine like terms: 24 + -24 = 0
0 + 7z = 0 + -24
7z = 0 + -24

Combine like terms: 0 + -24 = -24
7z = -24

Divide each side by '7'.
z = -3.428571429

Simplifying
z = -3.428571429

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