43z-1=4(13z-16)

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Solution for 43z-1=4(13z-16) equation:


Simplifying
43z + -1 = 4(13z + -16)

Reorder the terms:
-1 + 43z = 4(13z + -16)

Reorder the terms:
-1 + 43z = 4(-16 + 13z)
-1 + 43z = (-16 * 4 + 13z * 4)
-1 + 43z = (-64 + 52z)

Solving
-1 + 43z = -64 + 52z

Solving for variable 'z'.

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

Add '-52z' to each side of the equation.
-1 + 43z + -52z = -64 + 52z + -52z

Combine like terms: 43z + -52z = -9z
-1 + -9z = -64 + 52z + -52z

Combine like terms: 52z + -52z = 0
-1 + -9z = -64 + 0
-1 + -9z = -64

Add '1' to each side of the equation.
-1 + 1 + -9z = -64 + 1

Combine like terms: -1 + 1 = 0
0 + -9z = -64 + 1
-9z = -64 + 1

Combine like terms: -64 + 1 = -63
-9z = -63

Divide each side by '-9'.
z = 7

Simplifying
z = 7

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