-11(Z+1)+5(3z-4)=3(z-3)+14

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Solution for -11(Z+1)+5(3z-4)=3(z-3)+14 equation: 


Simplifying
-11(Z + 1) + 5(3z + -4) = 3(z + -3) + 14

Reorder the terms:
-11(1 + Z) + 5(3z + -4) = 3(z + -3) + 14
(1 * -11 + Z * -11) + 5(3z + -4) = 3(z + -3) + 14
(-11 + -11Z) + 5(3z + -4) = 3(z + -3) + 14

Reorder the terms:
-11 + -11Z + 5(-4 + 3z) = 3(z + -3) + 14
-11 + -11Z + (-4 * 5 + 3z * 5) = 3(z + -3) + 14
-11 + -11Z + (-20 + 15z) = 3(z + -3) + 14

Reorder the terms:
-11 + -20 + -11Z + 15z = 3(z + -3) + 14

Combine like terms: -11 + -20 = -31
-31 + -11Z + 15z = 3(z + -3) + 14

Reorder the terms:
-31 + -11Z + 15z = 3(-3 + z) + 14
-31 + -11Z + 15z = (-3 * 3 + z * 3) + 14
-31 + -11Z + 15z = (-9 + 3z) + 14

Reorder the terms:
-31 + -11Z + 15z = -9 + 14 + 3z

Combine like terms: -9 + 14 = 5
-31 + -11Z + 15z = 5 + 3z

Solving
-31 + -11Z + 15z = 5 + 3z

Solving for variable 'Z'.

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

Add '31' to each side of the equation.
-31 + -11Z + 31 + 15z = 5 + 31 + 3z

Reorder the terms:
-31 + 31 + -11Z + 15z = 5 + 31 + 3z

Combine like terms: -31 + 31 = 0
0 + -11Z + 15z = 5 + 31 + 3z
-11Z + 15z = 5 + 31 + 3z

Combine like terms: 5 + 31 = 36
-11Z + 15z = 36 + 3z

Add '-15z' to each side of the equation.
-11Z + 15z + -15z = 36 + 3z + -15z

Combine like terms: 15z + -15z = 0
-11Z + 0 = 36 + 3z + -15z
-11Z = 36 + 3z + -15z

Combine like terms: 3z + -15z = -12z
-11Z = 36 + -12z

Divide each side by '-11'.
Z = -3.272727273 + 1.090909091z

Simplifying
Z = -3.272727273 + 1.090909091z

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