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

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


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

Reorder the terms:
-7(-5 + t) + -1(t + 4) = 6
(-5 * -7 + t * -7) + -1(t + 4) = 6
(35 + -7t) + -1(t + 4) = 6

Reorder the terms:
35 + -7t + -1(4 + t) = 6
35 + -7t + (4 * -1 + t * -1) = 6
35 + -7t + (-4 + -1t) = 6

Reorder the terms:
35 + -4 + -7t + -1t = 6

Combine like terms: 35 + -4 = 31
31 + -7t + -1t = 6

Combine like terms: -7t + -1t = -8t
31 + -8t = 6

Solving
31 + -8t = 6

Solving for variable 't'.

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

Add '-31' to each side of the equation.
31 + -31 + -8t = 6 + -31

Combine like terms: 31 + -31 = 0
0 + -8t = 6 + -31
-8t = 6 + -31

Combine like terms: 6 + -31 = -25
-8t = -25

Divide each side by '-8'.
t = 3.125

Simplifying
t = 3.125

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