5s+(4-s)=9-(s-6)

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Solution for 5s+(4-s)=9-(s-6) equation:


Simplifying
5s + (4 + -1s) = 9 + -1(s + -6)

Remove parenthesis around (4 + -1s)
5s + 4 + -1s = 9 + -1(s + -6)

Reorder the terms:
4 + 5s + -1s = 9 + -1(s + -6)

Combine like terms: 5s + -1s = 4s
4 + 4s = 9 + -1(s + -6)

Reorder the terms:
4 + 4s = 9 + -1(-6 + s)
4 + 4s = 9 + (-6 * -1 + s * -1)
4 + 4s = 9 + (6 + -1s)

Combine like terms: 9 + 6 = 15
4 + 4s = 15 + -1s

Solving
4 + 4s = 15 + -1s

Solving for variable 's'.

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

Add 's' to each side of the equation.
4 + 4s + s = 15 + -1s + s

Combine like terms: 4s + s = 5s
4 + 5s = 15 + -1s + s

Combine like terms: -1s + s = 0
4 + 5s = 15 + 0
4 + 5s = 15

Add '-4' to each side of the equation.
4 + -4 + 5s = 15 + -4

Combine like terms: 4 + -4 = 0
0 + 5s = 15 + -4
5s = 15 + -4

Combine like terms: 15 + -4 = 11
5s = 11

Divide each side by '5'.
s = 2.2

Simplifying
s = 2.2

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