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

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


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

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

Reorder the terms:
-15 + 6z + -3z = 4z + 1

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

Reorder the terms:
-15 + 3z = 1 + 4z

Solving
-15 + 3z = 1 + 4z

Solving for variable 'z'.

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

Add '-4z' to each side of the equation.
-15 + 3z + -4z = 1 + 4z + -4z

Combine like terms: 3z + -4z = -1z
-15 + -1z = 1 + 4z + -4z

Combine like terms: 4z + -4z = 0
-15 + -1z = 1 + 0
-15 + -1z = 1

Add '15' to each side of the equation.
-15 + 15 + -1z = 1 + 15

Combine like terms: -15 + 15 = 0
0 + -1z = 1 + 15
-1z = 1 + 15

Combine like terms: 1 + 15 = 16
-1z = 16

Divide each side by '-1'.
z = -16

Simplifying
z = -16

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