s+(3s-2)+(4s-4)=42

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Solution for s+(3s-2)+(4s-4)=42 equation:


Simplifying
s + (3s + -2) + (4s + -4) = 42

Reorder the terms:
s + (-2 + 3s) + (4s + -4) = 42

Remove parenthesis around (-2 + 3s)
s + -2 + 3s + (4s + -4) = 42

Reorder the terms:
s + -2 + 3s + (-4 + 4s) = 42

Remove parenthesis around (-4 + 4s)
s + -2 + 3s + -4 + 4s = 42

Reorder the terms:
-2 + -4 + s + 3s + 4s = 42

Combine like terms: -2 + -4 = -6
-6 + s + 3s + 4s = 42

Combine like terms: s + 3s = 4s
-6 + 4s + 4s = 42

Combine like terms: 4s + 4s = 8s
-6 + 8s = 42

Solving
-6 + 8s = 42

Solving for variable 's'.

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

Add '6' to each side of the equation.
-6 + 6 + 8s = 42 + 6

Combine like terms: -6 + 6 = 0
0 + 8s = 42 + 6
8s = 42 + 6

Combine like terms: 42 + 6 = 48
8s = 48

Divide each side by '8'.
s = 6

Simplifying
s = 6

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