2(3z-5)+4(z+6)=2(3z+2)+3z-15

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Solution for 2(3z-5)+4(z+6)=2(3z+2)+3z-15 equation: 


Simplifying
2(3z + -5) + 4(z + 6) = 2(3z + 2) + 3z + -15

Reorder the terms:
2(-5 + 3z) + 4(z + 6) = 2(3z + 2) + 3z + -15
(-5 * 2 + 3z * 2) + 4(z + 6) = 2(3z + 2) + 3z + -15
(-10 + 6z) + 4(z + 6) = 2(3z + 2) + 3z + -15

Reorder the terms:
-10 + 6z + 4(6 + z) = 2(3z + 2) + 3z + -15
-10 + 6z + (6 * 4 + z * 4) = 2(3z + 2) + 3z + -15
-10 + 6z + (24 + 4z) = 2(3z + 2) + 3z + -15

Reorder the terms:
-10 + 24 + 6z + 4z = 2(3z + 2) + 3z + -15

Combine like terms: -10 + 24 = 14
14 + 6z + 4z = 2(3z + 2) + 3z + -15

Combine like terms: 6z + 4z = 10z
14 + 10z = 2(3z + 2) + 3z + -15

Reorder the terms:
14 + 10z = 2(2 + 3z) + 3z + -15
14 + 10z = (2 * 2 + 3z * 2) + 3z + -15
14 + 10z = (4 + 6z) + 3z + -15

Reorder the terms:
14 + 10z = 4 + -15 + 6z + 3z

Combine like terms: 4 + -15 = -11
14 + 10z = -11 + 6z + 3z

Combine like terms: 6z + 3z = 9z
14 + 10z = -11 + 9z

Solving
14 + 10z = -11 + 9z

Solving for variable 'z'.

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

Add '-9z' to each side of the equation.
14 + 10z + -9z = -11 + 9z + -9z

Combine like terms: 10z + -9z = 1z
14 + 1z = -11 + 9z + -9z

Combine like terms: 9z + -9z = 0
14 + 1z = -11 + 0
14 + 1z = -11

Add '-14' to each side of the equation.
14 + -14 + 1z = -11 + -14

Combine like terms: 14 + -14 = 0
0 + 1z = -11 + -14
1z = -11 + -14

Combine like terms: -11 + -14 = -25
1z = -25

Divide each side by '1'.
z = -25

Simplifying
z = -25

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