(4t+16)=(5t-21)

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Solution for (4t+16)=(5t-21) equation: 


Simplifying
(4t + 16) = (5t + -21)

Reorder the terms:
(16 + 4t) = (5t + -21)

Remove parenthesis around (16 + 4t)
16 + 4t = (5t + -21)

Reorder the terms:
16 + 4t = (-21 + 5t)

Remove parenthesis around (-21 + 5t)
16 + 4t = -21 + 5t

Solving
16 + 4t = -21 + 5t

Solving for variable 't'.

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

Add '-5t' to each side of the equation.
16 + 4t + -5t = -21 + 5t + -5t

Combine like terms: 4t + -5t = -1t
16 + -1t = -21 + 5t + -5t

Combine like terms: 5t + -5t = 0
16 + -1t = -21 + 0
16 + -1t = -21

Add '-16' to each side of the equation.
16 + -16 + -1t = -21 + -16

Combine like terms: 16 + -16 = 0
0 + -1t = -21 + -16
-1t = -21 + -16

Combine like terms: -21 + -16 = -37
-1t = -37

Divide each side by '-1'.
t = 37

Simplifying
t = 37

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