(4z+22)-(10z+9)=

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Solution for (4z+22)-(10z+9)= equation:


Simplifying
(4z + 22) + -1(10z + 9) = 0

Reorder the terms:
(22 + 4z) + -1(10z + 9) = 0

Remove parenthesis around (22 + 4z)
22 + 4z + -1(10z + 9) = 0

Reorder the terms:
22 + 4z + -1(9 + 10z) = 0
22 + 4z + (9 * -1 + 10z * -1) = 0
22 + 4z + (-9 + -10z) = 0

Reorder the terms:
22 + -9 + 4z + -10z = 0

Combine like terms: 22 + -9 = 13
13 + 4z + -10z = 0

Combine like terms: 4z + -10z = -6z
13 + -6z = 0

Solving
13 + -6z = 0

Solving for variable 'z'.

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

Add '-13' to each side of the equation.
13 + -13 + -6z = 0 + -13

Combine like terms: 13 + -13 = 0
0 + -6z = 0 + -13
-6z = 0 + -13

Combine like terms: 0 + -13 = -13
-6z = -13

Divide each side by '-6'.
z = 2.166666667

Simplifying
z = 2.166666667

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