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

Solution for 10-(t+6)=-1+4(t-6) equation:

Simplifying
10 + -1(t + 6) = -1 + 4(t + -6)

Reorder the terms:
10 + -1(6 + t) = -1 + 4(t + -6)
10 + (6 * -1 + t * -1) = -1 + 4(t + -6)
10 + (-6 + -1t) = -1 + 4(t + -6)

Combine like terms: 10 + -6 = 4
4 + -1t = -1 + 4(t + -6)

Reorder the terms:
4 + -1t = -1 + 4(-6 + t)
4 + -1t = -1 + (-6 * 4 + t * 4)
4 + -1t = -1 + (-24 + 4t)

Combine like terms: -1 + -24 = -25
4 + -1t = -25 + 4t

Solving
4 + -1t = -25 + 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.
4 + -1t + -4t = -25 + 4t + -4t

Combine like terms: -1t + -4t = -5t
4 + -5t = -25 + 4t + -4t

Combine like terms: 4t + -4t = 0
4 + -5t = -25 + 0
4 + -5t = -25

Add '-4' to each side of the equation.
4 + -4 + -5t = -25 + -4

Combine like terms: 4 + -4 = 0
0 + -5t = -25 + -4
-5t = -25 + -4

Combine like terms: -25 + -4 = -29
-5t = -29

Divide each side by '-5'.
t = 5.8

Simplifying
t = 5.8