2.4k+1=7(2k-4)

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Solution for 2.4k+1=7(2k-4) equation:


Simplifying
2.4k + 1 = 7(2k + -4)

Reorder the terms:
1 + 2.4k = 7(2k + -4)

Reorder the terms:
1 + 2.4k = 7(-4 + 2k)
1 + 2.4k = (-4 * 7 + 2k * 7)
1 + 2.4k = (-28 + 14k)

Solving
1 + 2.4k = -28 + 14k

Solving for variable 'k'.

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

Add '-14k' to each side of the equation.
1 + 2.4k + -14k = -28 + 14k + -14k

Combine like terms: 2.4k + -14k = -11.6k
1 + -11.6k = -28 + 14k + -14k

Combine like terms: 14k + -14k = 0
1 + -11.6k = -28 + 0
1 + -11.6k = -28

Add '-1' to each side of the equation.
1 + -1 + -11.6k = -28 + -1

Combine like terms: 1 + -1 = 0
0 + -11.6k = -28 + -1
-11.6k = -28 + -1

Combine like terms: -28 + -1 = -29
-11.6k = -29

Divide each side by '-11.6'.
k = 2.5

Simplifying
k = 2.5

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