3(7s+4)-11=2(5s+6)-14

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Solution for 3(7s+4)-11=2(5s+6)-14 equation:


Simplifying
3(7s + 4) + -11 = 2(5s + 6) + -14

Reorder the terms:
3(4 + 7s) + -11 = 2(5s + 6) + -14
(4 * 3 + 7s * 3) + -11 = 2(5s + 6) + -14
(12 + 21s) + -11 = 2(5s + 6) + -14

Reorder the terms:
12 + -11 + 21s = 2(5s + 6) + -14

Combine like terms: 12 + -11 = 1
1 + 21s = 2(5s + 6) + -14

Reorder the terms:
1 + 21s = 2(6 + 5s) + -14
1 + 21s = (6 * 2 + 5s * 2) + -14
1 + 21s = (12 + 10s) + -14

Reorder the terms:
1 + 21s = 12 + -14 + 10s

Combine like terms: 12 + -14 = -2
1 + 21s = -2 + 10s

Solving
1 + 21s = -2 + 10s

Solving for variable 's'.

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

Add '-10s' to each side of the equation.
1 + 21s + -10s = -2 + 10s + -10s

Combine like terms: 21s + -10s = 11s
1 + 11s = -2 + 10s + -10s

Combine like terms: 10s + -10s = 0
1 + 11s = -2 + 0
1 + 11s = -2

Add '-1' to each side of the equation.
1 + -1 + 11s = -2 + -1

Combine like terms: 1 + -1 = 0
0 + 11s = -2 + -1
11s = -2 + -1

Combine like terms: -2 + -1 = -3
11s = -3

Divide each side by '11'.
s = -0.2727272727

Simplifying
s = -0.2727272727

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