3(2X+25)-2(z-1)=78

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Solution for 3(2X+25)-2(z-1)=78 equation: 


Simplifying
3(2X + 25) + -2(z + -1) = 78

Reorder the terms:
3(25 + 2X) + -2(z + -1) = 78
(25 * 3 + 2X * 3) + -2(z + -1) = 78
(75 + 6X) + -2(z + -1) = 78

Reorder the terms:
75 + 6X + -2(-1 + z) = 78
75 + 6X + (-1 * -2 + z * -2) = 78
75 + 6X + (2 + -2z) = 78

Reorder the terms:
75 + 2 + 6X + -2z = 78

Combine like terms: 75 + 2 = 77
77 + 6X + -2z = 78

Solving
77 + 6X + -2z = 78

Solving for variable 'X'.

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

Add '-77' to each side of the equation.
77 + 6X + -77 + -2z = 78 + -77

Reorder the terms:
77 + -77 + 6X + -2z = 78 + -77

Combine like terms: 77 + -77 = 0
0 + 6X + -2z = 78 + -77
6X + -2z = 78 + -77

Combine like terms: 78 + -77 = 1
6X + -2z = 1

Add '2z' to each side of the equation.
6X + -2z + 2z = 1 + 2z

Combine like terms: -2z + 2z = 0
6X + 0 = 1 + 2z
6X = 1 + 2z

Divide each side by '6'.
X = 0.1666666667 + 0.3333333333z

Simplifying
X = 0.1666666667 + 0.3333333333z

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