9(t-8)-4(t-2)=11

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Solution for 9(t-8)-4(t-2)=11 equation:


Simplifying
9(t + -8) + -4(t + -2) = 11

Reorder the terms:
9(-8 + t) + -4(t + -2) = 11
(-8 * 9 + t * 9) + -4(t + -2) = 11
(-72 + 9t) + -4(t + -2) = 11

Reorder the terms:
-72 + 9t + -4(-2 + t) = 11
-72 + 9t + (-2 * -4 + t * -4) = 11
-72 + 9t + (8 + -4t) = 11

Reorder the terms:
-72 + 8 + 9t + -4t = 11

Combine like terms: -72 + 8 = -64
-64 + 9t + -4t = 11

Combine like terms: 9t + -4t = 5t
-64 + 5t = 11

Solving
-64 + 5t = 11

Solving for variable 't'.

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

Add '64' to each side of the equation.
-64 + 64 + 5t = 11 + 64

Combine like terms: -64 + 64 = 0
0 + 5t = 11 + 64
5t = 11 + 64

Combine like terms: 11 + 64 = 75
5t = 75

Divide each side by '5'.
t = 15

Simplifying
t = 15

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