11(7t+6)-16=t-(t+4)

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Solution for 11(7t+6)-16=t-(t+4) equation:


Simplifying
11(7t + 6) + -16 = t + -1(t + 4)

Reorder the terms:
11(6 + 7t) + -16 = t + -1(t + 4)
(6 * 11 + 7t * 11) + -16 = t + -1(t + 4)
(66 + 77t) + -16 = t + -1(t + 4)

Reorder the terms:
66 + -16 + 77t = t + -1(t + 4)

Combine like terms: 66 + -16 = 50
50 + 77t = t + -1(t + 4)

Reorder the terms:
50 + 77t = t + -1(4 + t)
50 + 77t = t + (4 * -1 + t * -1)
50 + 77t = t + (-4 + -1t)

Reorder the terms:
50 + 77t = -4 + t + -1t

Combine like terms: t + -1t = 0
50 + 77t = -4 + 0
50 + 77t = -4

Solving
50 + 77t = -4

Solving for variable 't'.

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

Add '-50' to each side of the equation.
50 + -50 + 77t = -4 + -50

Combine like terms: 50 + -50 = 0
0 + 77t = -4 + -50
77t = -4 + -50

Combine like terms: -4 + -50 = -54
77t = -54

Divide each side by '77'.
t = -0.7012987013

Simplifying
t = -0.7012987013

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