A(k)=3A(k-1)-2k+7

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Solution for A(k)=3A(k-1)-2k+7 equation: 


Simplifying
A(k) = 3A(k + -1) + -2k + 7

Multiply A * k
kA = 3A(k + -1) + -2k + 7

Reorder the terms:
kA = 3A(-1 + k) + -2k + 7
kA = (-1 * 3A + k * 3A) + -2k + 7
kA = (-3A + 3kA) + -2k + 7

Reorder the terms:
kA = 7 + -3A + -2k + 3kA

Solving
kA = 7 + -3A + -2k + 3kA

Solving for variable 'k'.

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

Add '2k' to each side of the equation.
2k + kA = 7 + -3A + -2k + 2k + 3kA

Combine like terms: -2k + 2k = 0
2k + kA = 7 + -3A + 0 + 3kA
2k + kA = 7 + -3A + 3kA

Add '-3kA' to each side of the equation.
2k + kA + -3kA = 7 + -3A + 3kA + -3kA

Combine like terms: kA + -3kA = -2kA
2k + -2kA = 7 + -3A + 3kA + -3kA

Combine like terms: 3kA + -3kA = 0
2k + -2kA = 7 + -3A + 0
2k + -2kA = 7 + -3A

Reorder the terms:
-7 + 3A + 2k + -2kA = 7 + -3A + -7 + 3A

Reorder the terms:
-7 + 3A + 2k + -2kA = 7 + -7 + -3A + 3A

Combine like terms: 7 + -7 = 0
-7 + 3A + 2k + -2kA = 0 + -3A + 3A
-7 + 3A + 2k + -2kA = -3A + 3A

Combine like terms: -3A + 3A = 0
-7 + 3A + 2k + -2kA = 0

The solution to this equation could not be determined.

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