7-0.8(s-6)=0.7(8s-6)

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Solution for 7-0.8(s-6)=0.7(8s-6) equation:


Simplifying
7 + -0.8(s + -6) = 0.7(8s + -6)

Reorder the terms:
7 + -0.8(-6 + s) = 0.7(8s + -6)
7 + (-6 * -0.8 + s * -0.8) = 0.7(8s + -6)
7 + (4.8 + -0.8s) = 0.7(8s + -6)

Combine like terms: 7 + 4.8 = 11.8
11.8 + -0.8s = 0.7(8s + -6)

Reorder the terms:
11.8 + -0.8s = 0.7(-6 + 8s)
11.8 + -0.8s = (-6 * 0.7 + 8s * 0.7)
11.8 + -0.8s = (-4.2 + 5.6s)

Solving
11.8 + -0.8s = -4.2 + 5.6s

Solving for variable 's'.

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

Add '-5.6s' to each side of the equation.
11.8 + -0.8s + -5.6s = -4.2 + 5.6s + -5.6s

Combine like terms: -0.8s + -5.6s = -6.4s
11.8 + -6.4s = -4.2 + 5.6s + -5.6s

Combine like terms: 5.6s + -5.6s = 0.0
11.8 + -6.4s = -4.2 + 0.0
11.8 + -6.4s = -4.2

Add '-11.8' to each side of the equation.
11.8 + -11.8 + -6.4s = -4.2 + -11.8

Combine like terms: 11.8 + -11.8 = 0.0
0.0 + -6.4s = -4.2 + -11.8
-6.4s = -4.2 + -11.8

Combine like terms: -4.2 + -11.8 = -16
-6.4s = -16

Divide each side by '-6.4'.
s = 2.5

Simplifying
s = 2.5

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