-4(t-7)-(t+8)=6

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Solution for -4(t-7)-(t+8)=6 equation: 


Simplifying
-4(t + -7) + -1(t + 8) = 6

Reorder the terms:
-4(-7 + t) + -1(t + 8) = 6
(-7 * -4 + t * -4) + -1(t + 8) = 6
(28 + -4t) + -1(t + 8) = 6

Reorder the terms:
28 + -4t + -1(8 + t) = 6
28 + -4t + (8 * -1 + t * -1) = 6
28 + -4t + (-8 + -1t) = 6

Reorder the terms:
28 + -8 + -4t + -1t = 6

Combine like terms: 28 + -8 = 20
20 + -4t + -1t = 6

Combine like terms: -4t + -1t = -5t
20 + -5t = 6

Solving
20 + -5t = 6

Solving for variable 't'.

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

Add '-20' to each side of the equation.
20 + -20 + -5t = 6 + -20

Combine like terms: 20 + -20 = 0
0 + -5t = 6 + -20
-5t = 6 + -20

Combine like terms: 6 + -20 = -14
-5t = -14

Divide each side by '-5'.
t = 2.8

Simplifying
t = 2.8

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