282=6(4i+3)

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Solution for 282=6(4i+3) equation:


Simplifying
282 = 6(4i + 3)

Reorder the terms:
282 = 6(3 + 4i)
282 = (3 * 6 + 4i * 6)
282 = (18 + 24i)

Solving
282 = 18 + 24i

Solving for variable 'i'.

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

Add '-24i' to each side of the equation.
282 + -24i = 18 + 24i + -24i

Combine like terms: 24i + -24i = 0
282 + -24i = 18 + 0
282 + -24i = 18

Add '-282' to each side of the equation.
282 + -282 + -24i = 18 + -282

Combine like terms: 282 + -282 = 0
0 + -24i = 18 + -282
-24i = 18 + -282

Combine like terms: 18 + -282 = -264
-24i = -264

Divide each side by '-24'.
i = 11

Simplifying
i = 11

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