45=3t+4(t+3)-6

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Solution for 45=3t+4(t+3)-6 equation:


Simplifying
45 = 3t + 4(t + 3) + -6

Reorder the terms:
45 = 3t + 4(3 + t) + -6
45 = 3t + (3 * 4 + t * 4) + -6
45 = 3t + (12 + 4t) + -6

Reorder the terms:
45 = 12 + -6 + 3t + 4t

Combine like terms: 12 + -6 = 6
45 = 6 + 3t + 4t

Combine like terms: 3t + 4t = 7t
45 = 6 + 7t

Solving
45 = 6 + 7t

Solving for variable 't'.

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

Add '-7t' to each side of the equation.
45 + -7t = 6 + 7t + -7t

Combine like terms: 7t + -7t = 0
45 + -7t = 6 + 0
45 + -7t = 6

Add '-45' to each side of the equation.
45 + -45 + -7t = 6 + -45

Combine like terms: 45 + -45 = 0
0 + -7t = 6 + -45
-7t = 6 + -45

Combine like terms: 6 + -45 = -39
-7t = -39

Divide each side by '-7'.
t = 5.571428571

Simplifying
t = 5.571428571

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