0.6(t+36)=-3(4-t)

Solution for 0.6(t+36)=-3(4-t) equation:

Simplifying
0.6(t + 36) = -3(4 + -1t)

Reorder the terms:
0.6(36 + t) = -3(4 + -1t)
(36 * 0.6 + t * 0.6) = -3(4 + -1t)
(21.6 + 0.6t) = -3(4 + -1t)
21.6 + 0.6t = (4 * -3 + -1t * -3)
21.6 + 0.6t = (-12 + 3t)

Solving
21.6 + 0.6t = -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.
21.6 + 0.6t + -3t = -12 + 3t + -3t

Combine like terms: 0.6t + -3t = -2.4t
21.6 + -2.4t = -12 + 3t + -3t

Combine like terms: 3t + -3t = 0
21.6 + -2.4t = -12 + 0
21.6 + -2.4t = -12

Add '-21.6' to each side of the equation.
21.6 + -21.6 + -2.4t = -12 + -21.6

Combine like terms: 21.6 + -21.6 = 0.0
0.0 + -2.4t = -12 + -21.6
-2.4t = -12 + -21.6

Combine like terms: -12 + -21.6 = -33.6
-2.4t = -33.6

Divide each side by '-2.4'.
t = 14

Simplifying
t = 14