5(k+2)-7=13-(4-k)

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Solution for 5(k+2)-7=13-(4-k) equation:


Simplifying
5(k + 2) + -7 = 13 + -1(4 + -1k)

Reorder the terms:
5(2 + k) + -7 = 13 + -1(4 + -1k)
(2 * 5 + k * 5) + -7 = 13 + -1(4 + -1k)
(10 + 5k) + -7 = 13 + -1(4 + -1k)

Reorder the terms:
10 + -7 + 5k = 13 + -1(4 + -1k)

Combine like terms: 10 + -7 = 3
3 + 5k = 13 + -1(4 + -1k)
3 + 5k = 13 + (4 * -1 + -1k * -1)
3 + 5k = 13 + (-4 + 1k)

Combine like terms: 13 + -4 = 9
3 + 5k = 9 + 1k

Solving
3 + 5k = 9 + 1k

Solving for variable 'k'.

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

Add '-1k' to each side of the equation.
3 + 5k + -1k = 9 + 1k + -1k

Combine like terms: 5k + -1k = 4k
3 + 4k = 9 + 1k + -1k

Combine like terms: 1k + -1k = 0
3 + 4k = 9 + 0
3 + 4k = 9

Add '-3' to each side of the equation.
3 + -3 + 4k = 9 + -3

Combine like terms: 3 + -3 = 0
0 + 4k = 9 + -3
4k = 9 + -3

Combine like terms: 9 + -3 = 6
4k = 6

Divide each side by '4'.
k = 1.5

Simplifying
k = 1.5

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