51=-9(k-4)+4(12-6k)

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Solution for 51=-9(k-4)+4(12-6k) equation:


Simplifying
51 = -9(k + -4) + 4(12 + -6k)

Reorder the terms:
51 = -9(-4 + k) + 4(12 + -6k)
51 = (-4 * -9 + k * -9) + 4(12 + -6k)
51 = (36 + -9k) + 4(12 + -6k)
51 = 36 + -9k + (12 * 4 + -6k * 4)
51 = 36 + -9k + (48 + -24k)

Reorder the terms:
51 = 36 + 48 + -9k + -24k

Combine like terms: 36 + 48 = 84
51 = 84 + -9k + -24k

Combine like terms: -9k + -24k = -33k
51 = 84 + -33k

Solving
51 = 84 + -33k

Solving for variable 'k'.

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

Add '33k' to each side of the equation.
51 + 33k = 84 + -33k + 33k

Combine like terms: -33k + 33k = 0
51 + 33k = 84 + 0
51 + 33k = 84

Add '-51' to each side of the equation.
51 + -51 + 33k = 84 + -51

Combine like terms: 51 + -51 = 0
0 + 33k = 84 + -51
33k = 84 + -51

Combine like terms: 84 + -51 = 33
33k = 33

Divide each side by '33'.
k = 1

Simplifying
k = 1

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