17(s+3)=4(s-10)

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Solution for 17(s+3)=4(s-10) equation: 


Simplifying
17(s + 3) = 4(s + -10)

Reorder the terms:
17(3 + s) = 4(s + -10)
(3 * 17 + s * 17) = 4(s + -10)
(51 + 17s) = 4(s + -10)

Reorder the terms:
51 + 17s = 4(-10 + s)
51 + 17s = (-10 * 4 + s * 4)
51 + 17s = (-40 + 4s)

Solving
51 + 17s = -40 + 4s

Solving for variable 's'.

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

Add '-4s' to each side of the equation.
51 + 17s + -4s = -40 + 4s + -4s

Combine like terms: 17s + -4s = 13s
51 + 13s = -40 + 4s + -4s

Combine like terms: 4s + -4s = 0
51 + 13s = -40 + 0
51 + 13s = -40

Add '-51' to each side of the equation.
51 + -51 + 13s = -40 + -51

Combine like terms: 51 + -51 = 0
0 + 13s = -40 + -51
13s = -40 + -51

Combine like terms: -40 + -51 = -91
13s = -91

Divide each side by '13'.
s = -7

Simplifying
s = -7

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