5(6z-1)-4(z+6)=19(z+1)

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Solution for 5(6z-1)-4(z+6)=19(z+1) equation:


Simplifying
5(6z + -1) + -4(z + 6) = 19(z + 1)

Reorder the terms:
5(-1 + 6z) + -4(z + 6) = 19(z + 1)
(-1 * 5 + 6z * 5) + -4(z + 6) = 19(z + 1)
(-5 + 30z) + -4(z + 6) = 19(z + 1)

Reorder the terms:
-5 + 30z + -4(6 + z) = 19(z + 1)
-5 + 30z + (6 * -4 + z * -4) = 19(z + 1)
-5 + 30z + (-24 + -4z) = 19(z + 1)

Reorder the terms:
-5 + -24 + 30z + -4z = 19(z + 1)

Combine like terms: -5 + -24 = -29
-29 + 30z + -4z = 19(z + 1)

Combine like terms: 30z + -4z = 26z
-29 + 26z = 19(z + 1)

Reorder the terms:
-29 + 26z = 19(1 + z)
-29 + 26z = (1 * 19 + z * 19)
-29 + 26z = (19 + 19z)

Solving
-29 + 26z = 19 + 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.
-29 + 26z + -19z = 19 + 19z + -19z

Combine like terms: 26z + -19z = 7z
-29 + 7z = 19 + 19z + -19z

Combine like terms: 19z + -19z = 0
-29 + 7z = 19 + 0
-29 + 7z = 19

Add '29' to each side of the equation.
-29 + 29 + 7z = 19 + 29

Combine like terms: -29 + 29 = 0
0 + 7z = 19 + 29
7z = 19 + 29

Combine like terms: 19 + 29 = 48
7z = 48

Divide each side by '7'.
z = 6.857142857

Simplifying
z = 6.857142857

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