6(i-2)=-7(11+i)

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Solution for 6(i-2)=-7(11+i) equation:


Simplifying
6(i + -2) = -7(11 + i)

Reorder the terms:
6(-2 + i) = -7(11 + i)
(-2 * 6 + i * 6) = -7(11 + i)
(-12 + 6i) = -7(11 + i)
-12 + 6i = (11 * -7 + i * -7)
-12 + 6i = (-77 + -7i)

Solving
-12 + 6i = -77 + -7i

Solving for variable 'i'.

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

Add '7i' to each side of the equation.
-12 + 6i + 7i = -77 + -7i + 7i

Combine like terms: 6i + 7i = 13i
-12 + 13i = -77 + -7i + 7i

Combine like terms: -7i + 7i = 0
-12 + 13i = -77 + 0
-12 + 13i = -77

Add '12' to each side of the equation.
-12 + 12 + 13i = -77 + 12

Combine like terms: -12 + 12 = 0
0 + 13i = -77 + 12
13i = -77 + 12

Combine like terms: -77 + 12 = -65
13i = -65

Divide each side by '13'.
i = -5

Simplifying
i = -5

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