3(22+4)=6(5z+2)

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Solution for 3(22+4)=6(5z+2) equation:


Simplifying
3(22 + 4) = 6(5z + 2)

Combine like terms: 22 + 4 = 26
3(26) = 6(5z + 2)

Multiply 3 * 26
78 = 6(5z + 2)

Reorder the terms:
78 = 6(2 + 5z)
78 = (2 * 6 + 5z * 6)
78 = (12 + 30z)

Solving
78 = 12 + 30z

Solving for variable 'z'.

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

Add '-30z' to each side of the equation.
78 + -30z = 12 + 30z + -30z

Combine like terms: 30z + -30z = 0
78 + -30z = 12 + 0
78 + -30z = 12

Add '-78' to each side of the equation.
78 + -78 + -30z = 12 + -78

Combine like terms: 78 + -78 = 0
0 + -30z = 12 + -78
-30z = 12 + -78

Combine like terms: 12 + -78 = -66
-30z = -66

Divide each side by '-30'.
z = 2.2

Simplifying
z = 2.2

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