14(5s+6)=-7(8s+22)

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Solution for 14(5s+6)=-7(8s+22) equation: 


Simplifying
14(5s + 6) = -7(8s + 22)

Reorder the terms:
14(6 + 5s) = -7(8s + 22)
(6 * 14 + 5s * 14) = -7(8s + 22)
(84 + 70s) = -7(8s + 22)

Reorder the terms:
84 + 70s = -7(22 + 8s)
84 + 70s = (22 * -7 + 8s * -7)
84 + 70s = (-154 + -56s)

Solving
84 + 70s = -154 + -56s

Solving for variable 's'.

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

Add '56s' to each side of the equation.
84 + 70s + 56s = -154 + -56s + 56s

Combine like terms: 70s + 56s = 126s
84 + 126s = -154 + -56s + 56s

Combine like terms: -56s + 56s = 0
84 + 126s = -154 + 0
84 + 126s = -154

Add '-84' to each side of the equation.
84 + -84 + 126s = -154 + -84

Combine like terms: 84 + -84 = 0
0 + 126s = -154 + -84
126s = -154 + -84

Combine like terms: -154 + -84 = -238
126s = -238

Divide each side by '126'.
s = -1.888888889

Simplifying
s = -1.888888889

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