1(6+t)=-3(4-t)

Solution for 1(6+t)=-3(4-t) equation:

Simplifying
1(6 + t) = -3(4 + -1t)
(6 * 1 + t * 1) = -3(4 + -1t)
(6 + 1t) = -3(4 + -1t)
6 + 1t = (4 * -3 + -1t * -3)
6 + 1t = (-12 + 3t)

Solving
6 + 1t = -12 + 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.
6 + 1t + -3t = -12 + 3t + -3t

Combine like terms: 1t + -3t = -2t
6 + -2t = -12 + 3t + -3t

Combine like terms: 3t + -3t = 0
6 + -2t = -12 + 0
6 + -2t = -12

Add '-6' to each side of the equation.
6 + -6 + -2t = -12 + -6

Combine like terms: 6 + -6 = 0
0 + -2t = -12 + -6
-2t = -12 + -6

Combine like terms: -12 + -6 = -18
-2t = -18

Divide each side by '-2'.
t = 9

Simplifying
t = 9