2(3k+10)-7k=7a-2(8+7k)

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Solution for 2(3k+10)-7k=7a-2(8+7k) equation:


Simplifying
2(3k + 10) + -7k = 7a + -2(8 + 7k)

Reorder the terms:
2(10 + 3k) + -7k = 7a + -2(8 + 7k)
(10 * 2 + 3k * 2) + -7k = 7a + -2(8 + 7k)
(20 + 6k) + -7k = 7a + -2(8 + 7k)

Combine like terms: 6k + -7k = -1k
20 + -1k = 7a + -2(8 + 7k)
20 + -1k = 7a + (8 * -2 + 7k * -2)
20 + -1k = 7a + (-16 + -14k)

Reorder the terms:
20 + -1k = -16 + 7a + -14k

Solving
20 + -1k = -16 + 7a + -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.
20 + -1k + 14k = -16 + 7a + -14k + 14k

Combine like terms: -1k + 14k = 13k
20 + 13k = -16 + 7a + -14k + 14k

Combine like terms: -14k + 14k = 0
20 + 13k = -16 + 7a + 0
20 + 13k = -16 + 7a

Add '-20' to each side of the equation.
20 + -20 + 13k = -16 + -20 + 7a

Combine like terms: 20 + -20 = 0
0 + 13k = -16 + -20 + 7a
13k = -16 + -20 + 7a

Combine like terms: -16 + -20 = -36
13k = -36 + 7a

Divide each side by '13'.
k = -2.769230769 + 0.5384615385a

Simplifying
k = -2.769230769 + 0.5384615385a

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