1+6(t-9)=4(t+7)+5

Solution for 1+6(t-9)=4(t+7)+5 equation:

Simplifying
1 + 6(t + -9) = 4(t + 7) + 5

Reorder the terms:
1 + 6(-9 + t) = 4(t + 7) + 5
1 + (-9 * 6 + t * 6) = 4(t + 7) + 5
1 + (-54 + 6t) = 4(t + 7) + 5

Combine like terms: 1 + -54 = -53
-53 + 6t = 4(t + 7) + 5

Reorder the terms:
-53 + 6t = 4(7 + t) + 5
-53 + 6t = (7 * 4 + t * 4) + 5
-53 + 6t = (28 + 4t) + 5

Reorder the terms:
-53 + 6t = 28 + 5 + 4t

Combine like terms: 28 + 5 = 33
-53 + 6t = 33 + 4t

Solving
-53 + 6t = 33 + 4t

Solving for variable 't'.

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

Add '-4t' to each side of the equation.
-53 + 6t + -4t = 33 + 4t + -4t

Combine like terms: 6t + -4t = 2t
-53 + 2t = 33 + 4t + -4t

Combine like terms: 4t + -4t = 0
-53 + 2t = 33 + 0
-53 + 2t = 33

Add '53' to each side of the equation.
-53 + 53 + 2t = 33 + 53

Combine like terms: -53 + 53 = 0
0 + 2t = 33 + 53
2t = 33 + 53

Combine like terms: 33 + 53 = 86
2t = 86

Divide each side by '2'.
t = 43

Simplifying
t = 43