8(7z+5)=5(11z+9)

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Solution for 8(7z+5)=5(11z+9) equation:


Simplifying
8(7z + 5) = 5(11z + 9)

Reorder the terms:
8(5 + 7z) = 5(11z + 9)
(5 * 8 + 7z * 8) = 5(11z + 9)
(40 + 56z) = 5(11z + 9)

Reorder the terms:
40 + 56z = 5(9 + 11z)
40 + 56z = (9 * 5 + 11z * 5)
40 + 56z = (45 + 55z)

Solving
40 + 56z = 45 + 55z

Solving for variable 'z'.

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

Add '-55z' to each side of the equation.
40 + 56z + -55z = 45 + 55z + -55z

Combine like terms: 56z + -55z = 1z
40 + 1z = 45 + 55z + -55z

Combine like terms: 55z + -55z = 0
40 + 1z = 45 + 0
40 + 1z = 45

Add '-40' to each side of the equation.
40 + -40 + 1z = 45 + -40

Combine like terms: 40 + -40 = 0
0 + 1z = 45 + -40
1z = 45 + -40

Combine like terms: 45 + -40 = 5
1z = 5

Divide each side by '1'.
z = 5

Simplifying
z = 5

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