5(4-t)-(4-3t)=7

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Solution for 5(4-t)-(4-3t)=7 equation: 


Simplifying
5(4 + -1t) + -1(4 + -3t) = 7
(4 * 5 + -1t * 5) + -1(4 + -3t) = 7
(20 + -5t) + -1(4 + -3t) = 7
20 + -5t + (4 * -1 + -3t * -1) = 7
20 + -5t + (-4 + 3t) = 7

Reorder the terms:
20 + -4 + -5t + 3t = 7

Combine like terms: 20 + -4 = 16
16 + -5t + 3t = 7

Combine like terms: -5t + 3t = -2t
16 + -2t = 7

Solving
16 + -2t = 7

Solving for variable 't'.

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

Add '-16' to each side of the equation.
16 + -16 + -2t = 7 + -16

Combine like terms: 16 + -16 = 0
0 + -2t = 7 + -16
-2t = 7 + -16

Combine like terms: 7 + -16 = -9
-2t = -9

Divide each side by '-2'.
t = 4.5

Simplifying
t = 4.5

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