z-4(z-2)=-13

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Solution for z-4(z-2)=-13 equation:


Simplifying
z + -4(z + -2) = -13

Reorder the terms:
z + -4(-2 + z) = -13
z + (-2 * -4 + z * -4) = -13
z + (8 + -4z) = -13

Reorder the terms:
8 + z + -4z = -13

Combine like terms: z + -4z = -3z
8 + -3z = -13

Solving
8 + -3z = -13

Solving for variable 'z'.

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

Add '-8' to each side of the equation.
8 + -8 + -3z = -13 + -8

Combine like terms: 8 + -8 = 0
0 + -3z = -13 + -8
-3z = -13 + -8

Combine like terms: -13 + -8 = -21
-3z = -21

Divide each side by '-3'.
z = 7

Simplifying
z = 7

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