4z+(3z+6)=90

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Solution for 4z+(3z+6)=90 equation:


Simplifying
4z + (3z + 6) = 90

Reorder the terms:
4z + (6 + 3z) = 90

Remove parenthesis around (6 + 3z)
4z + 6 + 3z = 90

Reorder the terms:
6 + 4z + 3z = 90

Combine like terms: 4z + 3z = 7z
6 + 7z = 90

Solving
6 + 7z = 90

Solving for variable 'z'.

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

Add '-6' to each side of the equation.
6 + -6 + 7z = 90 + -6

Combine like terms: 6 + -6 = 0
0 + 7z = 90 + -6
7z = 90 + -6

Combine like terms: 90 + -6 = 84
7z = 84

Divide each side by '7'.
z = 12

Simplifying
z = 12

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