3z-(-2.7-10z)=15.3+16z

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Solution for 3z-(-2.7-10z)=15.3+16z equation: 


Simplifying
3z + -1(-2.7 + -10z) = 15.3 + 16z
3z + (-2.7 * -1 + -10z * -1) = 15.3 + 16z
3z + (2.7 + 10z) = 15.3 + 16z

Reorder the terms:
2.7 + 3z + 10z = 15.3 + 16z

Combine like terms: 3z + 10z = 13z
2.7 + 13z = 15.3 + 16z

Solving
2.7 + 13z = 15.3 + 16z

Solving for variable 'z'.

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

Add '-16z' to each side of the equation.
2.7 + 13z + -16z = 15.3 + 16z + -16z

Combine like terms: 13z + -16z = -3z
2.7 + -3z = 15.3 + 16z + -16z

Combine like terms: 16z + -16z = 0
2.7 + -3z = 15.3 + 0
2.7 + -3z = 15.3

Add '-2.7' to each side of the equation.
2.7 + -2.7 + -3z = 15.3 + -2.7

Combine like terms: 2.7 + -2.7 = 0.0
0.0 + -3z = 15.3 + -2.7
-3z = 15.3 + -2.7

Combine like terms: 15.3 + -2.7 = 12.6
-3z = 12.6

Divide each side by '-3'.
z = -4.2

Simplifying
z = -4.2

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