6(8-t)+11=-11(t-4)-7

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Solution for 6(8-t)+11=-11(t-4)-7 equation: 


Simplifying
6(8 + -1t) + 11 = -11(t + -4) + -7
(8 * 6 + -1t * 6) + 11 = -11(t + -4) + -7
(48 + -6t) + 11 = -11(t + -4) + -7

Reorder the terms:
48 + 11 + -6t = -11(t + -4) + -7

Combine like terms: 48 + 11 = 59
59 + -6t = -11(t + -4) + -7

Reorder the terms:
59 + -6t = -11(-4 + t) + -7
59 + -6t = (-4 * -11 + t * -11) + -7
59 + -6t = (44 + -11t) + -7

Reorder the terms:
59 + -6t = 44 + -7 + -11t

Combine like terms: 44 + -7 = 37
59 + -6t = 37 + -11t

Solving
59 + -6t = 37 + -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.
59 + -6t + 11t = 37 + -11t + 11t

Combine like terms: -6t + 11t = 5t
59 + 5t = 37 + -11t + 11t

Combine like terms: -11t + 11t = 0
59 + 5t = 37 + 0
59 + 5t = 37

Add '-59' to each side of the equation.
59 + -59 + 5t = 37 + -59

Combine like terms: 59 + -59 = 0
0 + 5t = 37 + -59
5t = 37 + -59

Combine like terms: 37 + -59 = -22
5t = -22

Divide each side by '5'.
t = -4.4

Simplifying
t = -4.4

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