-3(5S-1)-3=-3(7S+1)-4

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Solution for -3(5S-1)-3=-3(7S+1)-4 equation: 


Simplifying
-3(5S + -1) + -3 = -3(7S + 1) + -4

Reorder the terms:
-3(-1 + 5S) + -3 = -3(7S + 1) + -4
(-1 * -3 + 5S * -3) + -3 = -3(7S + 1) + -4
(3 + -15S) + -3 = -3(7S + 1) + -4

Reorder the terms:
3 + -3 + -15S = -3(7S + 1) + -4

Combine like terms: 3 + -3 = 0
0 + -15S = -3(7S + 1) + -4
-15S = -3(7S + 1) + -4

Reorder the terms:
-15S = -3(1 + 7S) + -4
-15S = (1 * -3 + 7S * -3) + -4
-15S = (-3 + -21S) + -4

Reorder the terms:
-15S = -3 + -4 + -21S

Combine like terms: -3 + -4 = -7
-15S = -7 + -21S

Solving
-15S = -7 + -21S

Solving for variable 'S'.

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

Add '21S' to each side of the equation.
-15S + 21S = -7 + -21S + 21S

Combine like terms: -15S + 21S = 6S
6S = -7 + -21S + 21S

Combine like terms: -21S + 21S = 0
6S = -7 + 0
6S = -7

Divide each side by '6'.
S = -1.166666667

Simplifying
S = -1.166666667

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