2.5+0.5k=2(k+0.5)

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Solution for 2.5+0.5k=2(k+0.5) equation: 


Simplifying
2.5 + 0.5k = 2(k + 0.5)

Reorder the terms:
2.5 + 0.5k = 2(0.5 + k)
2.5 + 0.5k = (0.5 * 2 + k * 2)
2.5 + 0.5k = (1 + 2k)

Solving
2.5 + 0.5k = 1 + 2k

Solving for variable 'k'.

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

Add '-2k' to each side of the equation.
2.5 + 0.5k + -2k = 1 + 2k + -2k

Combine like terms: 0.5k + -2k = -1.5k
2.5 + -1.5k = 1 + 2k + -2k

Combine like terms: 2k + -2k = 0
2.5 + -1.5k = 1 + 0
2.5 + -1.5k = 1

Add '-2.5' to each side of the equation.
2.5 + -2.5 + -1.5k = 1 + -2.5

Combine like terms: 2.5 + -2.5 = 0.0
0.0 + -1.5k = 1 + -2.5
-1.5k = 1 + -2.5

Combine like terms: 1 + -2.5 = -1.5
-1.5k = -1.5

Divide each side by '-1.5'.
k = 1

Simplifying
k = 1

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