-5(4-3z)=6z+43

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Solution for -5(4-3z)=6z+43 equation:


Simplifying
-5(4 + -3z) = 6z + 43
(4 * -5 + -3z * -5) = 6z + 43
(-20 + 15z) = 6z + 43

Reorder the terms:
-20 + 15z = 43 + 6z

Solving
-20 + 15z = 43 + 6z

Solving for variable 'z'.

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

Add '-6z' to each side of the equation.
-20 + 15z + -6z = 43 + 6z + -6z

Combine like terms: 15z + -6z = 9z
-20 + 9z = 43 + 6z + -6z

Combine like terms: 6z + -6z = 0
-20 + 9z = 43 + 0
-20 + 9z = 43

Add '20' to each side of the equation.
-20 + 20 + 9z = 43 + 20

Combine like terms: -20 + 20 = 0
0 + 9z = 43 + 20
9z = 43 + 20

Combine like terms: 43 + 20 = 63
9z = 63

Divide each side by '9'.
z = 7

Simplifying
z = 7

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