2+4(k+2)=7(k+1)-9

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Solution for 2+4(k+2)=7(k+1)-9 equation: 


Simplifying
2 + 4(k + 2) = 7(k + 1) + -9

Reorder the terms:
2 + 4(2 + k) = 7(k + 1) + -9
2 + (2 * 4 + k * 4) = 7(k + 1) + -9
2 + (8 + 4k) = 7(k + 1) + -9

Combine like terms: 2 + 8 = 10
10 + 4k = 7(k + 1) + -9

Reorder the terms:
10 + 4k = 7(1 + k) + -9
10 + 4k = (1 * 7 + k * 7) + -9
10 + 4k = (7 + 7k) + -9

Reorder the terms:
10 + 4k = 7 + -9 + 7k

Combine like terms: 7 + -9 = -2
10 + 4k = -2 + 7k

Solving
10 + 4k = -2 + 7k

Solving for variable 'k'.

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

Add '-7k' to each side of the equation.
10 + 4k + -7k = -2 + 7k + -7k

Combine like terms: 4k + -7k = -3k
10 + -3k = -2 + 7k + -7k

Combine like terms: 7k + -7k = 0
10 + -3k = -2 + 0
10 + -3k = -2

Add '-10' to each side of the equation.
10 + -10 + -3k = -2 + -10

Combine like terms: 10 + -10 = 0
0 + -3k = -2 + -10
-3k = -2 + -10

Combine like terms: -2 + -10 = -12
-3k = -12

Divide each side by '-3'.
k = 4

Simplifying
k = 4

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