17.24=1.57(k+8)-1.6

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Solution for 17.24=1.57(k+8)-1.6 equation:


Simplifying
17.24 = 1.57(k + 8) + -1.6

Reorder the terms:
17.24 = 1.57(8 + k) + -1.6
17.24 = (8 * 1.57 + k * 1.57) + -1.6
17.24 = (12.56 + 1.57k) + -1.6

Reorder the terms:
17.24 = 12.56 + -1.6 + 1.57k

Combine like terms: 12.56 + -1.6 = 10.96
17.24 = 10.96 + 1.57k

Solving
17.24 = 10.96 + 1.57k

Solving for variable 'k'.

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

Add '-1.57k' to each side of the equation.
17.24 + -1.57k = 10.96 + 1.57k + -1.57k

Combine like terms: 1.57k + -1.57k = 0.00
17.24 + -1.57k = 10.96 + 0.00
17.24 + -1.57k = 10.96

Add '-17.24' to each side of the equation.
17.24 + -17.24 + -1.57k = 10.96 + -17.24

Combine like terms: 17.24 + -17.24 = 0.00
0.00 + -1.57k = 10.96 + -17.24
-1.57k = 10.96 + -17.24

Combine like terms: 10.96 + -17.24 = -6.28
-1.57k = -6.28

Divide each side by '-1.57'.
k = 4

Simplifying
k = 4

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