0.8(46+t)=4t+32

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Solution for 0.8(46+t)=4t+32 equation: 


Simplifying
0.8(46 + t) = 4t + 32
(46 * 0.8 + t * 0.8) = 4t + 32
(36.8 + 0.8t) = 4t + 32

Reorder the terms:
36.8 + 0.8t = 32 + 4t

Solving
36.8 + 0.8t = 32 + 4t

Solving for variable 't'.

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

Add '-4t' to each side of the equation.
36.8 + 0.8t + -4t = 32 + 4t + -4t

Combine like terms: 0.8t + -4t = -3.2t
36.8 + -3.2t = 32 + 4t + -4t

Combine like terms: 4t + -4t = 0
36.8 + -3.2t = 32 + 0
36.8 + -3.2t = 32

Add '-36.8' to each side of the equation.
36.8 + -36.8 + -3.2t = 32 + -36.8

Combine like terms: 36.8 + -36.8 = 0.0
0.0 + -3.2t = 32 + -36.8
-3.2t = 32 + -36.8

Combine like terms: 32 + -36.8 = -4.8
-3.2t = -4.8

Divide each side by '-3.2'.
t = 1.5

Simplifying
t = 1.5

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