-6(t-3)-(t+2)=11

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Solution for -6(t-3)-(t+2)=11 equation: 


Simplifying
-6(t + -3) + -1(t + 2) = 11

Reorder the terms:
-6(-3 + t) + -1(t + 2) = 11
(-3 * -6 + t * -6) + -1(t + 2) = 11
(18 + -6t) + -1(t + 2) = 11

Reorder the terms:
18 + -6t + -1(2 + t) = 11
18 + -6t + (2 * -1 + t * -1) = 11
18 + -6t + (-2 + -1t) = 11

Reorder the terms:
18 + -2 + -6t + -1t = 11

Combine like terms: 18 + -2 = 16
16 + -6t + -1t = 11

Combine like terms: -6t + -1t = -7t
16 + -7t = 11

Solving
16 + -7t = 11

Solving for variable 't'.

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

Add '-16' to each side of the equation.
16 + -16 + -7t = 11 + -16

Combine like terms: 16 + -16 = 0
0 + -7t = 11 + -16
-7t = 11 + -16

Combine like terms: 11 + -16 = -5
-7t = -5

Divide each side by '-7'.
t = 0.7142857143

Simplifying
t = 0.7142857143

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