6z+18-15z+10=4z-9

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Solution for 6z+18-15z+10=4z-9 equation:


Simplifying
6z + 18 + -15z + 10 = 4z + -9

Reorder the terms:
18 + 10 + 6z + -15z = 4z + -9

Combine like terms: 18 + 10 = 28
28 + 6z + -15z = 4z + -9

Combine like terms: 6z + -15z = -9z
28 + -9z = 4z + -9

Reorder the terms:
28 + -9z = -9 + 4z

Solving
28 + -9z = -9 + 4z

Solving for variable 'z'.

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

Add '-4z' to each side of the equation.
28 + -9z + -4z = -9 + 4z + -4z

Combine like terms: -9z + -4z = -13z
28 + -13z = -9 + 4z + -4z

Combine like terms: 4z + -4z = 0
28 + -13z = -9 + 0
28 + -13z = -9

Add '-28' to each side of the equation.
28 + -28 + -13z = -9 + -28

Combine like terms: 28 + -28 = 0
0 + -13z = -9 + -28
-13z = -9 + -28

Combine like terms: -9 + -28 = -37
-13z = -37

Divide each side by '-13'.
z = 2.846153846

Simplifying
z = 2.846153846

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