3z+s(6-z)=-(z-3)+1

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Solution for 3z+s(6-z)=-(z-3)+1 equation:


Simplifying
3z + s(6 + -1z) = -1(z + -3) + 1
3z + (6 * s + -1z * s) = -1(z + -3) + 1
3z + (6s + -1sz) = -1(z + -3) + 1

Reorder the terms:
6s + -1sz + 3z = -1(z + -3) + 1

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

Reorder the terms:
6s + -1sz + 3z = 3 + 1 + -1z

Combine like terms: 3 + 1 = 4
6s + -1sz + 3z = 4 + -1z

Solving
6s + -1sz + 3z = 4 + -1z

Solving for variable 's'.

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

Add '-3z' to each side of the equation.
6s + -1sz + 3z + -3z = 4 + -1z + -3z

Combine like terms: 3z + -3z = 0
6s + -1sz + 0 = 4 + -1z + -3z
6s + -1sz = 4 + -1z + -3z

Combine like terms: -1z + -3z = -4z
6s + -1sz = 4 + -4z

Reorder the terms:
-4 + 6s + -1sz + 4z = 4 + -4z + -4 + 4z

Reorder the terms:
-4 + 6s + -1sz + 4z = 4 + -4 + -4z + 4z

Combine like terms: 4 + -4 = 0
-4 + 6s + -1sz + 4z = 0 + -4z + 4z
-4 + 6s + -1sz + 4z = -4z + 4z

Combine like terms: -4z + 4z = 0
-4 + 6s + -1sz + 4z = 0

The solution to this equation could not be determined.

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