14+4(z-3)=3z+1

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Solution for 14+4(z-3)=3z+1 equation:


Simplifying
14 + 4(z + -3) = 3z + 1

Reorder the terms:
14 + 4(-3 + z) = 3z + 1
14 + (-3 * 4 + z * 4) = 3z + 1
14 + (-12 + 4z) = 3z + 1

Combine like terms: 14 + -12 = 2
2 + 4z = 3z + 1

Reorder the terms:
2 + 4z = 1 + 3z

Solving
2 + 4z = 1 + 3z

Solving for variable 'z'.

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

Add '-3z' to each side of the equation.
2 + 4z + -3z = 1 + 3z + -3z

Combine like terms: 4z + -3z = 1z
2 + 1z = 1 + 3z + -3z

Combine like terms: 3z + -3z = 0
2 + 1z = 1 + 0
2 + 1z = 1

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

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

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

Divide each side by '1'.
z = -1

Simplifying
z = -1

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