-4(k-2)+3(k+1)=7

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Solution for -4(k-2)+3(k+1)=7 equation: 


Simplifying
-4(k + -2) + 3(k + 1) = 7

Reorder the terms:
-4(-2 + k) + 3(k + 1) = 7
(-2 * -4 + k * -4) + 3(k + 1) = 7
(8 + -4k) + 3(k + 1) = 7

Reorder the terms:
8 + -4k + 3(1 + k) = 7
8 + -4k + (1 * 3 + k * 3) = 7
8 + -4k + (3 + 3k) = 7

Reorder the terms:
8 + 3 + -4k + 3k = 7

Combine like terms: 8 + 3 = 11
11 + -4k + 3k = 7

Combine like terms: -4k + 3k = -1k
11 + -1k = 7

Solving
11 + -1k = 7

Solving for variable 'k'.

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

Add '-11' to each side of the equation.
11 + -11 + -1k = 7 + -11

Combine like terms: 11 + -11 = 0
0 + -1k = 7 + -11
-1k = 7 + -11

Combine like terms: 7 + -11 = -4
-1k = -4

Divide each side by '-1'.
k = 4

Simplifying
k = 4

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