8.2(s+4)=6.7s+52

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Solution for 8.2(s+4)=6.7s+52 equation: 


Simplifying
8.2(s + 4) = 6.7s + 52

Reorder the terms:
8.2(4 + s) = 6.7s + 52
(4 * 8.2 + s * 8.2) = 6.7s + 52
(32.8 + 8.2s) = 6.7s + 52

Reorder the terms:
32.8 + 8.2s = 52 + 6.7s

Solving
32.8 + 8.2s = 52 + 6.7s

Solving for variable 's'.

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

Add '-6.7s' to each side of the equation.
32.8 + 8.2s + -6.7s = 52 + 6.7s + -6.7s

Combine like terms: 8.2s + -6.7s = 1.5s
32.8 + 1.5s = 52 + 6.7s + -6.7s

Combine like terms: 6.7s + -6.7s = 0.0
32.8 + 1.5s = 52 + 0.0
32.8 + 1.5s = 52

Add '-32.8' to each side of the equation.
32.8 + -32.8 + 1.5s = 52 + -32.8

Combine like terms: 32.8 + -32.8 = 0.0
0.0 + 1.5s = 52 + -32.8
1.5s = 52 + -32.8

Combine like terms: 52 + -32.8 = 19.2
1.5s = 19.2

Divide each side by '1.5'.
s = 12.8

Simplifying
s = 12.8

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