-8(t-6)-(t+1)=5

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Solution for -8(t-6)-(t+1)=5 equation:


Simplifying
-8(t + -6) + -1(t + 1) = 5

Reorder the terms:
-8(-6 + t) + -1(t + 1) = 5
(-6 * -8 + t * -8) + -1(t + 1) = 5
(48 + -8t) + -1(t + 1) = 5

Reorder the terms:
48 + -8t + -1(1 + t) = 5
48 + -8t + (1 * -1 + t * -1) = 5
48 + -8t + (-1 + -1t) = 5

Reorder the terms:
48 + -1 + -8t + -1t = 5

Combine like terms: 48 + -1 = 47
47 + -8t + -1t = 5

Combine like terms: -8t + -1t = -9t
47 + -9t = 5

Solving
47 + -9t = 5

Solving for variable 't'.

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

Add '-47' to each side of the equation.
47 + -47 + -9t = 5 + -47

Combine like terms: 47 + -47 = 0
0 + -9t = 5 + -47
-9t = 5 + -47

Combine like terms: 5 + -47 = -42
-9t = -42

Divide each side by '-9'.
t = 4.666666667

Simplifying
t = 4.666666667

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