Answer:
i= 3
Step-by-step explanation:
Simplifying
9x + -7i = 3(3x + -7)
Reorder the terms:
-7i + 9x = 3(3x + -7)
Reorder the terms:
-7i + 9x = 3(-7 + 3x)
-7i + 9x = (-7 * 3 + 3x * 3)
-7i + 9x = (-21 + 9x)
Add '-9x' to each side of the equation.
-7i + 9x + -9x = -21 + 9x + -9x
Combine like terms: 9x + -9x = 0
-7i + 0 = -21 + 9x + -9x
-7i = -21 + 9x + -9x
Combine like terms: 9x + -9x = 0
-7i = -21 + 0
-7i = -21
Solving
-7i = -21
Solving for variable 'i'.
Move all terms containing i to the left, all other terms to the right.
Divide each side by '-7'.
i = 3
Simplifying
i = 3