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

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


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

Reorder the terms:
-7(-6 + t) + -1(t + 7) = 4
(-6 * -7 + t * -7) + -1(t + 7) = 4
(42 + -7t) + -1(t + 7) = 4

Reorder the terms:
42 + -7t + -1(7 + t) = 4
42 + -7t + (7 * -1 + t * -1) = 4
42 + -7t + (-7 + -1t) = 4

Reorder the terms:
42 + -7 + -7t + -1t = 4

Combine like terms: 42 + -7 = 35
35 + -7t + -1t = 4

Combine like terms: -7t + -1t = -8t
35 + -8t = 4

Solving
35 + -8t = 4

Solving for variable 't'.

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

Add '-35' to each side of the equation.
35 + -35 + -8t = 4 + -35

Combine like terms: 35 + -35 = 0
0 + -8t = 4 + -35
-8t = 4 + -35

Combine like terms: 4 + -35 = -31
-8t = -31

Divide each side by '-8'.
t = 3.875

Simplifying
t = 3.875

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