75=3(10-t-3)+6t

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Solution for 75=3(10-t-3)+6t equation:


Simplifying
75 = 3(10 + -1t + -3) + 6t

Reorder the terms:
75 = 3(10 + -3 + -1t) + 6t

Combine like terms: 10 + -3 = 7
75 = 3(7 + -1t) + 6t
75 = (7 * 3 + -1t * 3) + 6t
75 = (21 + -3t) + 6t

Combine like terms: -3t + 6t = 3t
75 = 21 + 3t

Solving
75 = 21 + 3t

Solving for variable 't'.

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

Add '-3t' to each side of the equation.
75 + -3t = 21 + 3t + -3t

Combine like terms: 3t + -3t = 0
75 + -3t = 21 + 0
75 + -3t = 21

Add '-75' to each side of the equation.
75 + -75 + -3t = 21 + -75

Combine like terms: 75 + -75 = 0
0 + -3t = 21 + -75
-3t = 21 + -75

Combine like terms: 21 + -75 = -54
-3t = -54

Divide each side by '-3'.
t = 18

Simplifying
t = 18

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