2(i-3)=4(i-6)

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Solution for 2(i-3)=4(i-6) equation:


Simplifying
2(i + -3) = 4(i + -6)

Reorder the terms:
2(-3 + i) = 4(i + -6)
(-3 * 2 + i * 2) = 4(i + -6)
(-6 + 2i) = 4(i + -6)

Reorder the terms:
-6 + 2i = 4(-6 + i)
-6 + 2i = (-6 * 4 + i * 4)
-6 + 2i = (-24 + 4i)

Solving
-6 + 2i = -24 + 4i

Solving for variable 'i'.

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

Add '-4i' to each side of the equation.
-6 + 2i + -4i = -24 + 4i + -4i

Combine like terms: 2i + -4i = -2i
-6 + -2i = -24 + 4i + -4i

Combine like terms: 4i + -4i = 0
-6 + -2i = -24 + 0
-6 + -2i = -24

Add '6' to each side of the equation.
-6 + 6 + -2i = -24 + 6

Combine like terms: -6 + 6 = 0
0 + -2i = -24 + 6
-2i = -24 + 6

Combine like terms: -24 + 6 = -18
-2i = -18

Divide each side by '-2'.
i = 9

Simplifying
i = 9

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