6(5z-1)-4(z+3)=7(z+1)

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Solution for 6(5z-1)-4(z+3)=7(z+1) equation:


Simplifying
6(5z + -1) + -4(z + 3) = 7(z + 1)

Reorder the terms:
6(-1 + 5z) + -4(z + 3) = 7(z + 1)
(-1 * 6 + 5z * 6) + -4(z + 3) = 7(z + 1)
(-6 + 30z) + -4(z + 3) = 7(z + 1)

Reorder the terms:
-6 + 30z + -4(3 + z) = 7(z + 1)
-6 + 30z + (3 * -4 + z * -4) = 7(z + 1)
-6 + 30z + (-12 + -4z) = 7(z + 1)

Reorder the terms:
-6 + -12 + 30z + -4z = 7(z + 1)

Combine like terms: -6 + -12 = -18
-18 + 30z + -4z = 7(z + 1)

Combine like terms: 30z + -4z = 26z
-18 + 26z = 7(z + 1)

Reorder the terms:
-18 + 26z = 7(1 + z)
-18 + 26z = (1 * 7 + z * 7)
-18 + 26z = (7 + 7z)

Solving
-18 + 26z = 7 + 7z

Solving for variable 'z'.

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

Add '-7z' to each side of the equation.
-18 + 26z + -7z = 7 + 7z + -7z

Combine like terms: 26z + -7z = 19z
-18 + 19z = 7 + 7z + -7z

Combine like terms: 7z + -7z = 0
-18 + 19z = 7 + 0
-18 + 19z = 7

Add '18' to each side of the equation.
-18 + 18 + 19z = 7 + 18

Combine like terms: -18 + 18 = 0
0 + 19z = 7 + 18
19z = 7 + 18

Combine like terms: 7 + 18 = 25
19z = 25

Divide each side by '19'.
z = 1.315789474

Simplifying
z = 1.315789474

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