2(k-1.7)=-7.8(k-1.4)

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Solution for 2(k-1.7)=-7.8(k-1.4) equation: 


Simplifying
2(k + -1.7) = -7.8(k + -1.4)

Reorder the terms:
2(-1.7 + k) = -7.8(k + -1.4)
(-1.7 * 2 + k * 2) = -7.8(k + -1.4)
(-3.4 + 2k) = -7.8(k + -1.4)

Reorder the terms:
-3.4 + 2k = -7.8(-1.4 + k)
-3.4 + 2k = (-1.4 * -7.8 + k * -7.8)
-3.4 + 2k = (10.92 + -7.8k)

Solving
-3.4 + 2k = 10.92 + -7.8k

Solving for variable 'k'.

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

Add '7.8k' to each side of the equation.
-3.4 + 2k + 7.8k = 10.92 + -7.8k + 7.8k

Combine like terms: 2k + 7.8k = 9.8k
-3.4 + 9.8k = 10.92 + -7.8k + 7.8k

Combine like terms: -7.8k + 7.8k = 0.0
-3.4 + 9.8k = 10.92 + 0.0
-3.4 + 9.8k = 10.92

Add '3.4' to each side of the equation.
-3.4 + 3.4 + 9.8k = 10.92 + 3.4

Combine like terms: -3.4 + 3.4 = 0.0
0.0 + 9.8k = 10.92 + 3.4
9.8k = 10.92 + 3.4

Combine like terms: 10.92 + 3.4 = 14.32
9.8k = 14.32

Divide each side by '9.8'.
k = 1.46122449

Simplifying
k = 1.46122449

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