6(-2z+5)=-9z+16

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Solution for 6(-2z+5)=-9z+16 equation:


Simplifying
6(-2z + 5) = -9z + 16

Reorder the terms:
6(5 + -2z) = -9z + 16
(5 * 6 + -2z * 6) = -9z + 16
(30 + -12z) = -9z + 16

Reorder the terms:
30 + -12z = 16 + -9z

Solving
30 + -12z = 16 + -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.
30 + -12z + 9z = 16 + -9z + 9z

Combine like terms: -12z + 9z = -3z
30 + -3z = 16 + -9z + 9z

Combine like terms: -9z + 9z = 0
30 + -3z = 16 + 0
30 + -3z = 16

Add '-30' to each side of the equation.
30 + -30 + -3z = 16 + -30

Combine like terms: 30 + -30 = 0
0 + -3z = 16 + -30
-3z = 16 + -30

Combine like terms: 16 + -30 = -14
-3z = -14

Divide each side by '-3'.
z = 4.666666667

Simplifying
z = 4.666666667

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