9t+0.5(10-8t)=-3t+6

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Solution for 9t+0.5(10-8t)=-3t+6 equation:


Simplifying
9t + 0.5(10 + -8t) = -3t + 6
9t + (10 * 0.5 + -8t * 0.5) = -3t + 6
9t + (5 + -4t) = -3t + 6

Reorder the terms:
5 + 9t + -4t = -3t + 6

Combine like terms: 9t + -4t = 5t
5 + 5t = -3t + 6

Reorder the terms:
5 + 5t = 6 + -3t

Solving
5 + 5t = 6 + -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.
5 + 5t + 3t = 6 + -3t + 3t

Combine like terms: 5t + 3t = 8t
5 + 8t = 6 + -3t + 3t

Combine like terms: -3t + 3t = 0
5 + 8t = 6 + 0
5 + 8t = 6

Add '-5' to each side of the equation.
5 + -5 + 8t = 6 + -5

Combine like terms: 5 + -5 = 0
0 + 8t = 6 + -5
8t = 6 + -5

Combine like terms: 6 + -5 = 1
8t = 1

Divide each side by '8'.
t = 0.125

Simplifying
t = 0.125

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