46+3k-1=4(5k-6)+-3(k-9)

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Solution for 46+3k-1=4(5k-6)+-3(k-9) equation:


Simplifying
46 + 3k + -1 = 4(5k + -6) + -3(k + -9)

Reorder the terms:
46 + -1 + 3k = 4(5k + -6) + -3(k + -9)

Combine like terms: 46 + -1 = 45
45 + 3k = 4(5k + -6) + -3(k + -9)

Reorder the terms:
45 + 3k = 4(-6 + 5k) + -3(k + -9)
45 + 3k = (-6 * 4 + 5k * 4) + -3(k + -9)
45 + 3k = (-24 + 20k) + -3(k + -9)

Reorder the terms:
45 + 3k = -24 + 20k + -3(-9 + k)
45 + 3k = -24 + 20k + (-9 * -3 + k * -3)
45 + 3k = -24 + 20k + (27 + -3k)

Reorder the terms:
45 + 3k = -24 + 27 + 20k + -3k

Combine like terms: -24 + 27 = 3
45 + 3k = 3 + 20k + -3k

Combine like terms: 20k + -3k = 17k
45 + 3k = 3 + 17k

Solving
45 + 3k = 3 + 17k

Solving for variable 'k'.

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

Add '-17k' to each side of the equation.
45 + 3k + -17k = 3 + 17k + -17k

Combine like terms: 3k + -17k = -14k
45 + -14k = 3 + 17k + -17k

Combine like terms: 17k + -17k = 0
45 + -14k = 3 + 0
45 + -14k = 3

Add '-45' to each side of the equation.
45 + -45 + -14k = 3 + -45

Combine like terms: 45 + -45 = 0
0 + -14k = 3 + -45
-14k = 3 + -45

Combine like terms: 3 + -45 = -42
-14k = -42

Divide each side by '-14'.
k = 3

Simplifying
k = 3

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