.25(8t-12)+.25(4t+8)=11

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Solution for .25(8t-12)+.25(4t+8)=11 equation:


Simplifying
0.25(8t + -12) + 0.25(4t + 8) = 11

Reorder the terms:
0.25(-12 + 8t) + 0.25(4t + 8) = 11
(-12 * 0.25 + 8t * 0.25) + 0.25(4t + 8) = 11
(-3 + 2t) + 0.25(4t + 8) = 11

Reorder the terms:
-3 + 2t + 0.25(8 + 4t) = 11
-3 + 2t + (8 * 0.25 + 4t * 0.25) = 11
-3 + 2t + (2 + 1t) = 11

Reorder the terms:
-3 + 2 + 2t + 1t = 11

Combine like terms: -3 + 2 = -1
-1 + 2t + 1t = 11

Combine like terms: 2t + 1t = 3t
-1 + 3t = 11

Solving
-1 + 3t = 11

Solving for variable 't'.

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

Add '1' to each side of the equation.
-1 + 1 + 3t = 11 + 1

Combine like terms: -1 + 1 = 0
0 + 3t = 11 + 1
3t = 11 + 1

Combine like terms: 11 + 1 = 12
3t = 12

Divide each side by '3'.
t = 4

Simplifying
t = 4

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