5(9z-3)+7(2+z)=415

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Solution for 5(9z-3)+7(2+z)=415 equation:


Simplifying
5(9z + -3) + 7(2 + z) = 415

Reorder the terms:
5(-3 + 9z) + 7(2 + z) = 415
(-3 * 5 + 9z * 5) + 7(2 + z) = 415
(-15 + 45z) + 7(2 + z) = 415
-15 + 45z + (2 * 7 + z * 7) = 415
-15 + 45z + (14 + 7z) = 415

Reorder the terms:
-15 + 14 + 45z + 7z = 415

Combine like terms: -15 + 14 = -1
-1 + 45z + 7z = 415

Combine like terms: 45z + 7z = 52z
-1 + 52z = 415

Solving
-1 + 52z = 415

Solving for variable 'z'.

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

Add '1' to each side of the equation.
-1 + 1 + 52z = 415 + 1

Combine like terms: -1 + 1 = 0
0 + 52z = 415 + 1
52z = 415 + 1

Combine like terms: 415 + 1 = 416
52z = 416

Divide each side by '52'.
z = 8

Simplifying
z = 8

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