5(3z-1)-4(z-2)=6(z-1)

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Solution for 5(3z-1)-4(z-2)=6(z-1) equation:


Simplifying
5(3z + -1) + -4(z + -2) = 6(z + -1)

Reorder the terms:
5(-1 + 3z) + -4(z + -2) = 6(z + -1)
(-1 * 5 + 3z * 5) + -4(z + -2) = 6(z + -1)
(-5 + 15z) + -4(z + -2) = 6(z + -1)

Reorder the terms:
-5 + 15z + -4(-2 + z) = 6(z + -1)
-5 + 15z + (-2 * -4 + z * -4) = 6(z + -1)
-5 + 15z + (8 + -4z) = 6(z + -1)

Reorder the terms:
-5 + 8 + 15z + -4z = 6(z + -1)

Combine like terms: -5 + 8 = 3
3 + 15z + -4z = 6(z + -1)

Combine like terms: 15z + -4z = 11z
3 + 11z = 6(z + -1)

Reorder the terms:
3 + 11z = 6(-1 + z)
3 + 11z = (-1 * 6 + z * 6)
3 + 11z = (-6 + 6z)

Solving
3 + 11z = -6 + 6z

Solving for variable 'z'.

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

Add '-6z' to each side of the equation.
3 + 11z + -6z = -6 + 6z + -6z

Combine like terms: 11z + -6z = 5z
3 + 5z = -6 + 6z + -6z

Combine like terms: 6z + -6z = 0
3 + 5z = -6 + 0
3 + 5z = -6

Add '-3' to each side of the equation.
3 + -3 + 5z = -6 + -3

Combine like terms: 3 + -3 = 0
0 + 5z = -6 + -3
5z = -6 + -3

Combine like terms: -6 + -3 = -9
5z = -9

Divide each side by '5'.
z = -1.8

Simplifying
z = -1.8

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