4(5.6-t)=-1(t-3.4)

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Solution for 4(5.6-t)=-1(t-3.4) equation: 


Simplifying
4(5.6 + -1t) = -1(t + -3.4)
(5.6 * 4 + -1t * 4) = -1(t + -3.4)
(22.4 + -4t) = -1(t + -3.4)

Reorder the terms:
22.4 + -4t = -1(-3.4 + t)
22.4 + -4t = (-3.4 * -1 + t * -1)
22.4 + -4t = (3.4 + -1t)

Solving
22.4 + -4t = 3.4 + -1t

Solving for variable 't'.

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

Add 't' to each side of the equation.
22.4 + -4t + t = 3.4 + -1t + t

Combine like terms: -4t + t = -3t
22.4 + -3t = 3.4 + -1t + t

Combine like terms: -1t + t = 0
22.4 + -3t = 3.4 + 0
22.4 + -3t = 3.4

Add '-22.4' to each side of the equation.
22.4 + -22.4 + -3t = 3.4 + -22.4

Combine like terms: 22.4 + -22.4 = 0.0
0.0 + -3t = 3.4 + -22.4
-3t = 3.4 + -22.4

Combine like terms: 3.4 + -22.4 = -19
-3t = -19

Divide each side by '-3'.
t = 6.333333333

Simplifying
t = 6.333333333

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