6(s-4)=3(s+9)

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Solution for 6(s-4)=3(s+9) equation:


Simplifying
6(s + -4) = 3(s + 9)

Reorder the terms:
6(-4 + s) = 3(s + 9)
(-4 * 6 + s * 6) = 3(s + 9)
(-24 + 6s) = 3(s + 9)

Reorder the terms:
-24 + 6s = 3(9 + s)
-24 + 6s = (9 * 3 + s * 3)
-24 + 6s = (27 + 3s)

Solving
-24 + 6s = 27 + 3s

Solving for variable 's'.

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

Add '-3s' to each side of the equation.
-24 + 6s + -3s = 27 + 3s + -3s

Combine like terms: 6s + -3s = 3s
-24 + 3s = 27 + 3s + -3s

Combine like terms: 3s + -3s = 0
-24 + 3s = 27 + 0
-24 + 3s = 27

Add '24' to each side of the equation.
-24 + 24 + 3s = 27 + 24

Combine like terms: -24 + 24 = 0
0 + 3s = 27 + 24
3s = 27 + 24

Combine like terms: 27 + 24 = 51
3s = 51

Divide each side by '3'.
s = 17

Simplifying
s = 17

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