-7(t-5)-(t+2)=7

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Solution for -7(t-5)-(t+2)=7 equation: 


Simplifying
-7(t + -5) + -1(t + 2) = 7

Reorder the terms:
-7(-5 + t) + -1(t + 2) = 7
(-5 * -7 + t * -7) + -1(t + 2) = 7
(35 + -7t) + -1(t + 2) = 7

Reorder the terms:
35 + -7t + -1(2 + t) = 7
35 + -7t + (2 * -1 + t * -1) = 7
35 + -7t + (-2 + -1t) = 7

Reorder the terms:
35 + -2 + -7t + -1t = 7

Combine like terms: 35 + -2 = 33
33 + -7t + -1t = 7

Combine like terms: -7t + -1t = -8t
33 + -8t = 7

Solving
33 + -8t = 7

Solving for variable 't'.

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

Add '-33' to each side of the equation.
33 + -33 + -8t = 7 + -33

Combine like terms: 33 + -33 = 0
0 + -8t = 7 + -33
-8t = 7 + -33

Combine like terms: 7 + -33 = -26
-8t = -26

Divide each side by '-8'.
t = 3.25

Simplifying
t = 3.25

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