-10z-13=30z+27

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Solution for -10z-13=30z+27 equation:


Simplifying
-10z + -13 = 30z + 27

Reorder the terms:
-13 + -10z = 30z + 27

Reorder the terms:
-13 + -10z = 27 + 30z

Solving
-13 + -10z = 27 + 30z

Solving for variable 'z'.

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

Add '-30z' to each side of the equation.
-13 + -10z + -30z = 27 + 30z + -30z

Combine like terms: -10z + -30z = -40z
-13 + -40z = 27 + 30z + -30z

Combine like terms: 30z + -30z = 0
-13 + -40z = 27 + 0
-13 + -40z = 27

Add '13' to each side of the equation.
-13 + 13 + -40z = 27 + 13

Combine like terms: -13 + 13 = 0
0 + -40z = 27 + 13
-40z = 27 + 13

Combine like terms: 27 + 13 = 40
-40z = 40

Divide each side by '-40'.
z = -1

Simplifying
z = -1

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