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

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


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

Reorder the terms:
3(4 + 3z) + -4(2z + -3) = 8
(4 * 3 + 3z * 3) + -4(2z + -3) = 8
(12 + 9z) + -4(2z + -3) = 8

Reorder the terms:
12 + 9z + -4(-3 + 2z) = 8
12 + 9z + (-3 * -4 + 2z * -4) = 8
12 + 9z + (12 + -8z) = 8

Reorder the terms:
12 + 12 + 9z + -8z = 8

Combine like terms: 12 + 12 = 24
24 + 9z + -8z = 8

Combine like terms: 9z + -8z = 1z
24 + 1z = 8

Solving
24 + 1z = 8

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 + 1z = 8 + -24

Combine like terms: 24 + -24 = 0
0 + 1z = 8 + -24
1z = 8 + -24

Combine like terms: 8 + -24 = -16
1z = -16

Divide each side by '1'.
z = -16

Simplifying
z = -16

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