6(4z-1)-3(z+8)=19z+1

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Solution for 6(4z-1)-3(z+8)=19z+1 equation:


Simplifying
6(4z + -1) + -3(z + 8) = 19z + 1

Reorder the terms:
6(-1 + 4z) + -3(z + 8) = 19z + 1
(-1 * 6 + 4z * 6) + -3(z + 8) = 19z + 1
(-6 + 24z) + -3(z + 8) = 19z + 1

Reorder the terms:
-6 + 24z + -3(8 + z) = 19z + 1
-6 + 24z + (8 * -3 + z * -3) = 19z + 1
-6 + 24z + (-24 + -3z) = 19z + 1

Reorder the terms:
-6 + -24 + 24z + -3z = 19z + 1

Combine like terms: -6 + -24 = -30
-30 + 24z + -3z = 19z + 1

Combine like terms: 24z + -3z = 21z
-30 + 21z = 19z + 1

Reorder the terms:
-30 + 21z = 1 + 19z

Solving
-30 + 21z = 1 + 19z

Solving for variable 'z'.

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

Add '-19z' to each side of the equation.
-30 + 21z + -19z = 1 + 19z + -19z

Combine like terms: 21z + -19z = 2z
-30 + 2z = 1 + 19z + -19z

Combine like terms: 19z + -19z = 0
-30 + 2z = 1 + 0
-30 + 2z = 1

Add '30' to each side of the equation.
-30 + 30 + 2z = 1 + 30

Combine like terms: -30 + 30 = 0
0 + 2z = 1 + 30
2z = 1 + 30

Combine like terms: 1 + 30 = 31
2z = 31

Divide each side by '2'.
z = 15.5

Simplifying
z = 15.5

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