4.06=12.6(5+3.5k)-2

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Solution for 4.06=12.6(5+3.5k)-2 equation: 


Simplifying
4.06 = 12.6(5 + 3.5k) + -2
4.06 = (5 * 12.6 + 3.5k * 12.6) + -2
4.06 = (63 + 44.1k) + -2

Reorder the terms:
4.06 = 63 + -2 + 44.1k

Combine like terms: 63 + -2 = 61
4.06 = 61 + 44.1k

Solving
4.06 = 61 + 44.1k

Solving for variable 'k'.

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

Add '-44.1k' to each side of the equation.
4.06 + -44.1k = 61 + 44.1k + -44.1k

Combine like terms: 44.1k + -44.1k = 0.0
4.06 + -44.1k = 61 + 0.0
4.06 + -44.1k = 61

Add '-4.06' to each side of the equation.
4.06 + -4.06 + -44.1k = 61 + -4.06

Combine like terms: 4.06 + -4.06 = 0.00
0.00 + -44.1k = 61 + -4.06
-44.1k = 61 + -4.06

Combine like terms: 61 + -4.06 = 56.94
-44.1k = 56.94

Divide each side by '-44.1'.
k = -1.291156463

Simplifying
k = -1.291156463

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