(7)(8)z-4=-(15)(16)z+1

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Solution for (7)(8)z-4=-(15)(16)z+1 equation:


Simplifying
(7)(8) * z + -4 = -1(15)(16) * z + 1

Multiply 7 * 8
56z + -4 = -1(15)(16) * z + 1

Reorder the terms:
-4 + 56z = -1(15)(16) * z + 1

Multiply -1 * 15
-4 + 56z = -15 * 16z + 1

Multiply -15 * 16
-4 + 56z = -240z + 1

Reorder the terms:
-4 + 56z = 1 + -240z

Solving
-4 + 56z = 1 + -240z

Solving for variable 'z'.

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

Add '240z' to each side of the equation.
-4 + 56z + 240z = 1 + -240z + 240z

Combine like terms: 56z + 240z = 296z
-4 + 296z = 1 + -240z + 240z

Combine like terms: -240z + 240z = 0
-4 + 296z = 1 + 0
-4 + 296z = 1

Add '4' to each side of the equation.
-4 + 4 + 296z = 1 + 4

Combine like terms: -4 + 4 = 0
0 + 296z = 1 + 4
296z = 1 + 4

Combine like terms: 1 + 4 = 5
296z = 5

Divide each side by '296'.
z = 0.01689189189

Simplifying
z = 0.01689189189

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