-53=-3(3z+3)+3z

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Solution for -53=-3(3z+3)+3z equation:


Simplifying
-53 = -3(3z + 3) + 3z

Reorder the terms:
-53 = -3(3 + 3z) + 3z
-53 = (3 * -3 + 3z * -3) + 3z
-53 = (-9 + -9z) + 3z

Combine like terms: -9z + 3z = -6z
-53 = -9 + -6z

Solving
-53 = -9 + -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.
-53 + 6z = -9 + -6z + 6z

Combine like terms: -6z + 6z = 0
-53 + 6z = -9 + 0
-53 + 6z = -9

Add '53' to each side of the equation.
-53 + 53 + 6z = -9 + 53

Combine like terms: -53 + 53 = 0
0 + 6z = -9 + 53
6z = -9 + 53

Combine like terms: -9 + 53 = 44
6z = 44

Divide each side by '6'.
z = 7.333333333

Simplifying
z = 7.333333333

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