4(11z+12)-3(10z+14)=

Solution for 4(11z+12)-3(10z+14)= equation:

Simplifying
4(11z + 12) + -3(10z + 14) = 0

Reorder the terms:
4(12 + 11z) + -3(10z + 14) = 0
(12 * 4 + 11z * 4) + -3(10z + 14) = 0
(48 + 44z) + -3(10z + 14) = 0

Reorder the terms:
48 + 44z + -3(14 + 10z) = 0
48 + 44z + (14 * -3 + 10z * -3) = 0
48 + 44z + (-42 + -30z) = 0

Reorder the terms:
48 + -42 + 44z + -30z = 0

Combine like terms: 48 + -42 = 6
6 + 44z + -30z = 0

Combine like terms: 44z + -30z = 14z
6 + 14z = 0

Solving
6 + 14z = 0

Solving for variable 'z'.

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

Add '-6' to each side of the equation.
6 + -6 + 14z = 0 + -6

Combine like terms: 6 + -6 = 0
0 + 14z = 0 + -6
14z = 0 + -6

Combine like terms: 0 + -6 = -6
14z = -6

Divide each side by '14'.
z = -0.4285714286

Simplifying
z = -0.4285714286