-3(t-4)+8t=3t-1

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Solution for -3(t-4)+8t=3t-1 equation:


Simplifying
-3(t + -4) + 8t = 3t + -1

Reorder the terms:
-3(-4 + t) + 8t = 3t + -1
(-4 * -3 + t * -3) + 8t = 3t + -1
(12 + -3t) + 8t = 3t + -1

Combine like terms: -3t + 8t = 5t
12 + 5t = 3t + -1

Reorder the terms:
12 + 5t = -1 + 3t

Solving
12 + 5t = -1 + 3t

Solving for variable 't'.

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

Add '-3t' to each side of the equation.
12 + 5t + -3t = -1 + 3t + -3t

Combine like terms: 5t + -3t = 2t
12 + 2t = -1 + 3t + -3t

Combine like terms: 3t + -3t = 0
12 + 2t = -1 + 0
12 + 2t = -1

Add '-12' to each side of the equation.
12 + -12 + 2t = -1 + -12

Combine like terms: 12 + -12 = 0
0 + 2t = -1 + -12
2t = -1 + -12

Combine like terms: -1 + -12 = -13
2t = -13

Divide each side by '2'.
t = -6.5

Simplifying
t = -6.5

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