3(6z-1)-2(z+5)=13(z+1)

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Solution for 3(6z-1)-2(z+5)=13(z+1) equation:


Simplifying
3(6z + -1) + -2(z + 5) = 13(z + 1)

Reorder the terms:
3(-1 + 6z) + -2(z + 5) = 13(z + 1)
(-1 * 3 + 6z * 3) + -2(z + 5) = 13(z + 1)
(-3 + 18z) + -2(z + 5) = 13(z + 1)

Reorder the terms:
-3 + 18z + -2(5 + z) = 13(z + 1)
-3 + 18z + (5 * -2 + z * -2) = 13(z + 1)
-3 + 18z + (-10 + -2z) = 13(z + 1)

Reorder the terms:
-3 + -10 + 18z + -2z = 13(z + 1)

Combine like terms: -3 + -10 = -13
-13 + 18z + -2z = 13(z + 1)

Combine like terms: 18z + -2z = 16z
-13 + 16z = 13(z + 1)

Reorder the terms:
-13 + 16z = 13(1 + z)
-13 + 16z = (1 * 13 + z * 13)
-13 + 16z = (13 + 13z)

Solving
-13 + 16z = 13 + 13z

Solving for variable 'z'.

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

Add '-13z' to each side of the equation.
-13 + 16z + -13z = 13 + 13z + -13z

Combine like terms: 16z + -13z = 3z
-13 + 3z = 13 + 13z + -13z

Combine like terms: 13z + -13z = 0
-13 + 3z = 13 + 0
-13 + 3z = 13

Add '13' to each side of the equation.
-13 + 13 + 3z = 13 + 13

Combine like terms: -13 + 13 = 0
0 + 3z = 13 + 13
3z = 13 + 13

Combine like terms: 13 + 13 = 26
3z = 26

Divide each side by '3'.
z = 8.666666667

Simplifying
z = 8.666666667

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