7=5(z+7)-3

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


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

Reorder the terms:
7 = 5(7 + z) + -3
7 = (7 * 5 + z * 5) + -3
7 = (35 + 5z) + -3

Reorder the terms:
7 = 35 + -3 + 5z

Combine like terms: 35 + -3 = 32
7 = 32 + 5z

Solving
7 = 32 + 5z

Solving for variable 'z'.

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

Add '-5z' to each side of the equation.
7 + -5z = 32 + 5z + -5z

Combine like terms: 5z + -5z = 0
7 + -5z = 32 + 0
7 + -5z = 32

Add '-7' to each side of the equation.
7 + -7 + -5z = 32 + -7

Combine like terms: 7 + -7 = 0
0 + -5z = 32 + -7
-5z = 32 + -7

Combine like terms: 32 + -7 = 25
-5z = 25

Divide each side by '-5'.
z = -5

Simplifying
z = -5

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