12(t+4)=15(3t+1)

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Solution for 12(t+4)=15(3t+1) equation:


Simplifying
12(t + 4) = 15(3t + 1)

Reorder the terms:
12(4 + t) = 15(3t + 1)
(4 * 12 + t * 12) = 15(3t + 1)
(48 + 12t) = 15(3t + 1)

Reorder the terms:
48 + 12t = 15(1 + 3t)
48 + 12t = (1 * 15 + 3t * 15)
48 + 12t = (15 + 45t)

Solving
48 + 12t = 15 + 45t

Solving for variable 't'.

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

Add '-45t' to each side of the equation.
48 + 12t + -45t = 15 + 45t + -45t

Combine like terms: 12t + -45t = -33t
48 + -33t = 15 + 45t + -45t

Combine like terms: 45t + -45t = 0
48 + -33t = 15 + 0
48 + -33t = 15

Add '-48' to each side of the equation.
48 + -48 + -33t = 15 + -48

Combine like terms: 48 + -48 = 0
0 + -33t = 15 + -48
-33t = 15 + -48

Combine like terms: 15 + -48 = -33
-33t = -33

Divide each side by '-33'.
t = 1

Simplifying
t = 1

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