16-5(3k-4)=8(-2k+11)

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Solution for 16-5(3k-4)=8(-2k+11) equation: 


Simplifying
16 + -5(3k + -4) = 8(-2k + 11)

Reorder the terms:
16 + -5(-4 + 3k) = 8(-2k + 11)
16 + (-4 * -5 + 3k * -5) = 8(-2k + 11)
16 + (20 + -15k) = 8(-2k + 11)

Combine like terms: 16 + 20 = 36
36 + -15k = 8(-2k + 11)

Reorder the terms:
36 + -15k = 8(11 + -2k)
36 + -15k = (11 * 8 + -2k * 8)
36 + -15k = (88 + -16k)

Solving
36 + -15k = 88 + -16k

Solving for variable 'k'.

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

Add '16k' to each side of the equation.
36 + -15k + 16k = 88 + -16k + 16k

Combine like terms: -15k + 16k = 1k
36 + 1k = 88 + -16k + 16k

Combine like terms: -16k + 16k = 0
36 + 1k = 88 + 0
36 + 1k = 88

Add '-36' to each side of the equation.
36 + -36 + 1k = 88 + -36

Combine like terms: 36 + -36 = 0
0 + 1k = 88 + -36
1k = 88 + -36

Combine like terms: 88 + -36 = 52
1k = 52

Divide each side by '1'.
k = 52

Simplifying
k = 52

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