5-3(k-4)=-2(k+1)

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Solution for 5-3(k-4)=-2(k+1) equation:


Simplifying
5 + -3(k + -4) = -2(k + 1)

Reorder the terms:
5 + -3(-4 + k) = -2(k + 1)
5 + (-4 * -3 + k * -3) = -2(k + 1)
5 + (12 + -3k) = -2(k + 1)

Combine like terms: 5 + 12 = 17
17 + -3k = -2(k + 1)

Reorder the terms:
17 + -3k = -2(1 + k)
17 + -3k = (1 * -2 + k * -2)
17 + -3k = (-2 + -2k)

Solving
17 + -3k = -2 + -2k

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.
17 + -3k + 2k = -2 + -2k + 2k

Combine like terms: -3k + 2k = -1k
17 + -1k = -2 + -2k + 2k

Combine like terms: -2k + 2k = 0
17 + -1k = -2 + 0
17 + -1k = -2

Add '-17' to each side of the equation.
17 + -17 + -1k = -2 + -17

Combine like terms: 17 + -17 = 0
0 + -1k = -2 + -17
-1k = -2 + -17

Combine like terms: -2 + -17 = -19
-1k = -19

Divide each side by '-1'.
k = 19

Simplifying
k = 19

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