5=-7(3z-4)

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Solution for 5=-7(3z-4) equation:


Simplifying
5 = -7(3z + -4)

Reorder the terms:
5 = -7(-4 + 3z)
5 = (-4 * -7 + 3z * -7)
5 = (28 + -21z)

Solving
5 = 28 + -21z

Solving for variable 'z'.

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

Add '21z' to each side of the equation.
5 + 21z = 28 + -21z + 21z

Combine like terms: -21z + 21z = 0
5 + 21z = 28 + 0
5 + 21z = 28

Add '-5' to each side of the equation.
5 + -5 + 21z = 28 + -5

Combine like terms: 5 + -5 = 0
0 + 21z = 28 + -5
21z = 28 + -5

Combine like terms: 28 + -5 = 23
21z = 23

Divide each side by '21'.
z = 1.095238095

Simplifying
z = 1.095238095

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