16-5(3t-4)=8(2t+11)

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Solution for 16-5(3t-4)=8(2t+11) equation:


Simplifying
16 + -5(3t + -4) = 8(2t + 11)

Reorder the terms:
16 + -5(-4 + 3t) = 8(2t + 11)
16 + (-4 * -5 + 3t * -5) = 8(2t + 11)
16 + (20 + -15t) = 8(2t + 11)

Combine like terms: 16 + 20 = 36
36 + -15t = 8(2t + 11)

Reorder the terms:
36 + -15t = 8(11 + 2t)
36 + -15t = (11 * 8 + 2t * 8)
36 + -15t = (88 + 16t)

Solving
36 + -15t = 88 + 16t

Solving for variable 't'.

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

Add '-16t' to each side of the equation.
36 + -15t + -16t = 88 + 16t + -16t

Combine like terms: -15t + -16t = -31t
36 + -31t = 88 + 16t + -16t

Combine like terms: 16t + -16t = 0
36 + -31t = 88 + 0
36 + -31t = 88

Add '-36' to each side of the equation.
36 + -36 + -31t = 88 + -36

Combine like terms: 36 + -36 = 0
0 + -31t = 88 + -36
-31t = 88 + -36

Combine like terms: 88 + -36 = 52
-31t = 52

Divide each side by '-31'.
t = -1.677419355

Simplifying
t = -1.677419355

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