6s-(-10s-11)=16-(-13s-4)

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Solution for 6s-(-10s-11)=16-(-13s-4) equation:


Simplifying
6s + -1(-10s + -11) = 16 + -1(-13s + -4)

Reorder the terms:
6s + -1(-11 + -10s) = 16 + -1(-13s + -4)
6s + (-11 * -1 + -10s * -1) = 16 + -1(-13s + -4)
6s + (11 + 10s) = 16 + -1(-13s + -4)

Reorder the terms:
11 + 6s + 10s = 16 + -1(-13s + -4)

Combine like terms: 6s + 10s = 16s
11 + 16s = 16 + -1(-13s + -4)

Reorder the terms:
11 + 16s = 16 + -1(-4 + -13s)
11 + 16s = 16 + (-4 * -1 + -13s * -1)
11 + 16s = 16 + (4 + 13s)

Combine like terms: 16 + 4 = 20
11 + 16s = 20 + 13s

Solving
11 + 16s = 20 + 13s

Solving for variable 's'.

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

Add '-13s' to each side of the equation.
11 + 16s + -13s = 20 + 13s + -13s

Combine like terms: 16s + -13s = 3s
11 + 3s = 20 + 13s + -13s

Combine like terms: 13s + -13s = 0
11 + 3s = 20 + 0
11 + 3s = 20

Add '-11' to each side of the equation.
11 + -11 + 3s = 20 + -11

Combine like terms: 11 + -11 = 0
0 + 3s = 20 + -11
3s = 20 + -11

Combine like terms: 20 + -11 = 9
3s = 9

Divide each side by '3'.
s = 3

Simplifying
s = 3

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