4(t-9)=6(t+7)

Solution for 4(t-9)=6(t+7) equation:

Simplifying
4(t + -9) = 6(t + 7)

Reorder the terms:
4(-9 + t) = 6(t + 7)
(-9 * 4 + t * 4) = 6(t + 7)
(-36 + 4t) = 6(t + 7)

Reorder the terms:
-36 + 4t = 6(7 + t)
-36 + 4t = (7 * 6 + t * 6)
-36 + 4t = (42 + 6t)

Solving
-36 + 4t = 42 + 6t

Solving for variable 't'.

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

Add '-6t' to each side of the equation.
-36 + 4t + -6t = 42 + 6t + -6t

Combine like terms: 4t + -6t = -2t
-36 + -2t = 42 + 6t + -6t

Combine like terms: 6t + -6t = 0
-36 + -2t = 42 + 0
-36 + -2t = 42

Add '36' to each side of the equation.
-36 + 36 + -2t = 42 + 36

Combine like terms: -36 + 36 = 0
0 + -2t = 42 + 36
-2t = 42 + 36

Combine like terms: 42 + 36 = 78
-2t = 78

Divide each side by '-2'.
t = -39

Simplifying
t = -39