9(z-7)=4(z+8)-5

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Solution for 9(z-7)=4(z+8)-5 equation:


Simplifying
9(z + -7) = 4(z + 8) + -5

Reorder the terms:
9(-7 + z) = 4(z + 8) + -5
(-7 * 9 + z * 9) = 4(z + 8) + -5
(-63 + 9z) = 4(z + 8) + -5

Reorder the terms:
-63 + 9z = 4(8 + z) + -5
-63 + 9z = (8 * 4 + z * 4) + -5
-63 + 9z = (32 + 4z) + -5

Reorder the terms:
-63 + 9z = 32 + -5 + 4z

Combine like terms: 32 + -5 = 27
-63 + 9z = 27 + 4z

Solving
-63 + 9z = 27 + 4z

Solving for variable 'z'.

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

Add '-4z' to each side of the equation.
-63 + 9z + -4z = 27 + 4z + -4z

Combine like terms: 9z + -4z = 5z
-63 + 5z = 27 + 4z + -4z

Combine like terms: 4z + -4z = 0
-63 + 5z = 27 + 0
-63 + 5z = 27

Add '63' to each side of the equation.
-63 + 63 + 5z = 27 + 63

Combine like terms: -63 + 63 = 0
0 + 5z = 27 + 63
5z = 27 + 63

Combine like terms: 27 + 63 = 90
5z = 90

Divide each side by '5'.
z = 18

Simplifying
z = 18

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