t*(3+4k)=7s

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Solution for t*(3+4k)=7s equation:


Simplifying
t(3 + 4k) = 7s
(3 * t + 4k * t) = 7s

Reorder the terms:
(4kt + 3t) = 7s
(4kt + 3t) = 7s

Solving
4kt + 3t = 7s

Solving for variable 'k'.

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

Add '-3t' to each side of the equation.
4kt + 3t + -3t = 7s + -3t

Combine like terms: 3t + -3t = 0
4kt + 0 = 7s + -3t
4kt = 7s + -3t

Divide each side by '4t'.
k = 1.75st-1 + -0.75

Simplifying
k = 1.75st-1 + -0.75

Reorder the terms:
k = -0.75 + 1.75st-1

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