3z+6(z-5)=-48

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Solution for 3z+6(z-5)=-48 equation:


Simplifying
3z + 6(z + -5) = -48

Reorder the terms:
3z + 6(-5 + z) = -48
3z + (-5 * 6 + z * 6) = -48
3z + (-30 + 6z) = -48

Reorder the terms:
-30 + 3z + 6z = -48

Combine like terms: 3z + 6z = 9z
-30 + 9z = -48

Solving
-30 + 9z = -48

Solving for variable 'z'.

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

Add '30' to each side of the equation.
-30 + 30 + 9z = -48 + 30

Combine like terms: -30 + 30 = 0
0 + 9z = -48 + 30
9z = -48 + 30

Combine like terms: -48 + 30 = -18
9z = -18

Divide each side by '9'.
z = -2

Simplifying
z = -2

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