5t-16+4=6t-42

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Solution for 5t-16+4=6t-42 equation:


Simplifying
5t + -16 + 4 = 6t + -42

Reorder the terms:
-16 + 4 + 5t = 6t + -42

Combine like terms: -16 + 4 = -12
-12 + 5t = 6t + -42

Reorder the terms:
-12 + 5t = -42 + 6t

Solving
-12 + 5t = -42 + 6t

Solving for variable 't'.

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

Add '-6t' to each side of the equation.
-12 + 5t + -6t = -42 + 6t + -6t

Combine like terms: 5t + -6t = -1t
-12 + -1t = -42 + 6t + -6t

Combine like terms: 6t + -6t = 0
-12 + -1t = -42 + 0
-12 + -1t = -42

Add '12' to each side of the equation.
-12 + 12 + -1t = -42 + 12

Combine like terms: -12 + 12 = 0
0 + -1t = -42 + 12
-1t = -42 + 12

Combine like terms: -42 + 12 = -30
-1t = -30

Divide each side by '-1'.
t = 30

Simplifying
t = 30

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