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

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


Simplifying
-3(t + -4) + 5t = 4t + -3

Reorder the terms:
-3(-4 + t) + 5t = 4t + -3
(-4 * -3 + t * -3) + 5t = 4t + -3
(12 + -3t) + 5t = 4t + -3

Combine like terms: -3t + 5t = 2t
12 + 2t = 4t + -3

Reorder the terms:
12 + 2t = -3 + 4t

Solving
12 + 2t = -3 + 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.
12 + 2t + -4t = -3 + 4t + -4t

Combine like terms: 2t + -4t = -2t
12 + -2t = -3 + 4t + -4t

Combine like terms: 4t + -4t = 0
12 + -2t = -3 + 0
12 + -2t = -3

Add '-12' to each side of the equation.
12 + -12 + -2t = -3 + -12

Combine like terms: 12 + -12 = 0
0 + -2t = -3 + -12
-2t = -3 + -12

Combine like terms: -3 + -12 = -15
-2t = -15

Divide each side by '-2'.
t = 7.5

Simplifying
t = 7.5

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