3(7t+1)-15=t-(t+1)

Solution for 3(7t+1)-15=t-(t+1) equation:

Simplifying
3(7t + 1) + -15 = t + -1(t + 1)

Reorder the terms:
3(1 + 7t) + -15 = t + -1(t + 1)
(1 * 3 + 7t * 3) + -15 = t + -1(t + 1)
(3 + 21t) + -15 = t + -1(t + 1)

Reorder the terms:
3 + -15 + 21t = t + -1(t + 1)

Combine like terms: 3 + -15 = -12
-12 + 21t = t + -1(t + 1)

Reorder the terms:
-12 + 21t = t + -1(1 + t)
-12 + 21t = t + (1 * -1 + t * -1)
-12 + 21t = t + (-1 + -1t)

Reorder the terms:
-12 + 21t = -1 + t + -1t

Combine like terms: t + -1t = 0
-12 + 21t = -1 + 0
-12 + 21t = -1

Solving
-12 + 21t = -1

Solving for variable 't'.

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

Add '12' to each side of the equation.
-12 + 12 + 21t = -1 + 12

Combine like terms: -12 + 12 = 0
0 + 21t = -1 + 12
21t = -1 + 12

Combine like terms: -1 + 12 = 11
21t = 11

Divide each side by '21'.
t = 0.5238095238

Simplifying
t = 0.5238095238