-7(t-3)-(t-1)=7

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Solution for -7(t-3)-(t-1)=7 equation: 


Simplifying
-7(t + -3) + -1(t + -1) = 7

Reorder the terms:
-7(-3 + t) + -1(t + -1) = 7
(-3 * -7 + t * -7) + -1(t + -1) = 7
(21 + -7t) + -1(t + -1) = 7

Reorder the terms:
21 + -7t + -1(-1 + t) = 7
21 + -7t + (-1 * -1 + t * -1) = 7
21 + -7t + (1 + -1t) = 7

Reorder the terms:
21 + 1 + -7t + -1t = 7

Combine like terms: 21 + 1 = 22
22 + -7t + -1t = 7

Combine like terms: -7t + -1t = -8t
22 + -8t = 7

Solving
22 + -8t = 7

Solving for variable 't'.

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

Add '-22' to each side of the equation.
22 + -22 + -8t = 7 + -22

Combine like terms: 22 + -22 = 0
0 + -8t = 7 + -22
-8t = 7 + -22

Combine like terms: 7 + -22 = -15
-8t = -15

Divide each side by '-8'.
t = 1.875

Simplifying
t = 1.875

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