8(2k)+7=2k+1

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Solution for 8(2k)+7=2k+1 equation:


Simplifying
8(2k) + 7 = 2k + 1

Remove parenthesis around (2k)
8 * 2k + 7 = 2k + 1

Multiply 8 * 2
16k + 7 = 2k + 1

Reorder the terms:
7 + 16k = 2k + 1

Reorder the terms:
7 + 16k = 1 + 2k

Solving
7 + 16k = 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.
7 + 16k + -2k = 1 + 2k + -2k

Combine like terms: 16k + -2k = 14k
7 + 14k = 1 + 2k + -2k

Combine like terms: 2k + -2k = 0
7 + 14k = 1 + 0
7 + 14k = 1

Add '-7' to each side of the equation.
7 + -7 + 14k = 1 + -7

Combine like terms: 7 + -7 = 0
0 + 14k = 1 + -7
14k = 1 + -7

Combine like terms: 1 + -7 = -6
14k = -6

Divide each side by '14'.
k = -0.4285714286

Simplifying
k = -0.4285714286

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