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

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


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

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

Multiply -1 * -1
5s + 1 = 9 + -1(s + -6)

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

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

Combine like terms: 9 + 6 = 15
1 + 5s = 15 + -1s

Solving
1 + 5s = 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.
1 + 5s + s = 15 + -1s + s

Combine like terms: 5s + s = 6s
1 + 6s = 15 + -1s + s

Combine like terms: -1s + s = 0
1 + 6s = 15 + 0
1 + 6s = 15

Add '-1' to each side of the equation.
1 + -1 + 6s = 15 + -1

Combine like terms: 1 + -1 = 0
0 + 6s = 15 + -1
6s = 15 + -1

Combine like terms: 15 + -1 = 14
6s = 14

Divide each side by '6'.
s = 2.333333333

Simplifying
s = 2.333333333

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