0.4(2s+0.5)=3[0.2s+(-2)]-4

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Solution for 0.4(2s+0.5)=3[0.2s+(-2)]-4 equation: 


Simplifying
0.4(2s + 0.5) = 3[0.2s + (-2)] + -4

Reorder the terms:
0.4(0.5 + 2s) = 3[0.2s + (-2)] + -4
(0.5 * 0.4 + 2s * 0.4) = 3[0.2s + (-2)] + -4
(0.2 + 0.8s) = 3[0.2s + (-2)] + -4
0.2 + 0.8s = 3[0.2s + -2] + -4

Reorder the terms:
0.2 + 0.8s = 3[-2 + 0.2s] + -4
0.2 + 0.8s = [-2 * 3 + 0.2s * 3] + -4
0.2 + 0.8s = [-6 + 0.6s] + -4

Reorder the terms:
0.2 + 0.8s = -6 + -4 + 0.6s

Combine like terms: -6 + -4 = -10
0.2 + 0.8s = -10 + 0.6s

Solving
0.2 + 0.8s = -10 + 0.6s

Solving for variable 's'.

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

Add '-0.6s' to each side of the equation.
0.2 + 0.8s + -0.6s = -10 + 0.6s + -0.6s

Combine like terms: 0.8s + -0.6s = 0.2s
0.2 + 0.2s = -10 + 0.6s + -0.6s

Combine like terms: 0.6s + -0.6s = 0.0
0.2 + 0.2s = -10 + 0.0
0.2 + 0.2s = -10

Add '-0.2' to each side of the equation.
0.2 + -0.2 + 0.2s = -10 + -0.2

Combine like terms: 0.2 + -0.2 = 0.0
0.0 + 0.2s = -10 + -0.2
0.2s = -10 + -0.2

Combine like terms: -10 + -0.2 = -10.2
0.2s = -10.2

Divide each side by '0.2'.
s = -51

Simplifying
s = -51

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