sin(6)-sin(42)-sin(66)+sin(78)=-0.5

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Solution for sin(6)-sin(42)-sin(66)+sin(78)=-0.5 equation: 


Simplifying
sin(6) + -1sin(42) + -1sin(66) + sin(78) = -0.5

Reorder the terms for easier multiplication:
6ins + -1sin(42) + -1sin(66) + sin(78) = -0.5

Reorder the terms for easier multiplication:
6ins + -1 * 42ins + -1sin(66) + sin(78) = -0.5

Multiply -1 * 42
6ins + -42ins + -1sin(66) + sin(78) = -0.5

Reorder the terms for easier multiplication:
6ins + -42ins + -1 * 66ins + sin(78) = -0.5

Multiply -1 * 66
6ins + -42ins + -66ins + sin(78) = -0.5

Reorder the terms for easier multiplication:
6ins + -42ins + -66ins + 78ins = -0.5

Combine like terms: 6ins + -42ins = -36ins
-36ins + -66ins + 78ins = -0.5

Combine like terms: -36ins + -66ins = -102ins
-102ins + 78ins = -0.5

Combine like terms: -102ins + 78ins = -24ins
-24ins = -0.5

Solving
-24ins = -0.5

Solving for variable 'i'.

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

Divide each side by '-24ns'.
i = 0.02083333333n-1s-1

Simplifying
i = 0.02083333333n-1s-1

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