5-6[2t-2(the+3)]=8-t

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Solution for 5-6[2t-2(the+3)]=8-t equation:


Simplifying
5 + -6[2t + -2(the + 3)] = 8 + -1t

Reorder the terms:
5 + -6[2t + -2(3 + eht)] = 8 + -1t
5 + -6[2t + (3 * -2 + eht * -2)] = 8 + -1t
5 + -6[2t + (-6 + -2eht)] = 8 + -1t

Reorder the terms:
5 + -6[-6 + -2eht + 2t] = 8 + -1t
5 + [-6 * -6 + -2eht * -6 + 2t * -6] = 8 + -1t
5 + [36 + 12eht + -12t] = 8 + -1t

Combine like terms: 5 + 36 = 41
41 + 12eht + -12t = 8 + -1t

Solving
41 + 12eht + -12t = 8 + -1t

Solving for variable 'e'.

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

Add '-41' to each side of the equation.
41 + 12eht + -41 + -12t = 8 + -41 + -1t

Reorder the terms:
41 + -41 + 12eht + -12t = 8 + -41 + -1t

Combine like terms: 41 + -41 = 0
0 + 12eht + -12t = 8 + -41 + -1t
12eht + -12t = 8 + -41 + -1t

Combine like terms: 8 + -41 = -33
12eht + -12t = -33 + -1t

Add '12t' to each side of the equation.
12eht + -12t + 12t = -33 + -1t + 12t

Combine like terms: -12t + 12t = 0
12eht + 0 = -33 + -1t + 12t
12eht = -33 + -1t + 12t

Combine like terms: -1t + 12t = 11t
12eht = -33 + 11t

Divide each side by '12ht'.
e = -2.75h-1t-1 + 0.9166666667h-1

Simplifying
e = -2.75h-1t-1 + 0.9166666667h-1

Reorder the terms:
e = 0.9166666667h-1 + -2.75h-1t-1

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