6(4-t)+11=-11(t-3)-5

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Solution for 6(4-t)+11=-11(t-3)-5 equation: 


Simplifying
6(4 + -1t) + 11 = -11(t + -3) + -5
(4 * 6 + -1t * 6) + 11 = -11(t + -3) + -5
(24 + -6t) + 11 = -11(t + -3) + -5

Reorder the terms:
24 + 11 + -6t = -11(t + -3) + -5

Combine like terms: 24 + 11 = 35
35 + -6t = -11(t + -3) + -5

Reorder the terms:
35 + -6t = -11(-3 + t) + -5
35 + -6t = (-3 * -11 + t * -11) + -5
35 + -6t = (33 + -11t) + -5

Reorder the terms:
35 + -6t = 33 + -5 + -11t

Combine like terms: 33 + -5 = 28
35 + -6t = 28 + -11t

Solving
35 + -6t = 28 + -11t

Solving for variable 't'.

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

Add '11t' to each side of the equation.
35 + -6t + 11t = 28 + -11t + 11t

Combine like terms: -6t + 11t = 5t
35 + 5t = 28 + -11t + 11t

Combine like terms: -11t + 11t = 0
35 + 5t = 28 + 0
35 + 5t = 28

Add '-35' to each side of the equation.
35 + -35 + 5t = 28 + -35

Combine like terms: 35 + -35 = 0
0 + 5t = 28 + -35
5t = 28 + -35

Combine like terms: 28 + -35 = -7
5t = -7

Divide each side by '5'.
t = -1.4

Simplifying
t = -1.4

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