-5(t-3)-(t+5)=7

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Solution for -5(t-3)-(t+5)=7 equation: 


Simplifying
-5(t + -3) + -1(t + 5) = 7

Reorder the terms:
-5(-3 + t) + -1(t + 5) = 7
(-3 * -5 + t * -5) + -1(t + 5) = 7
(15 + -5t) + -1(t + 5) = 7

Reorder the terms:
15 + -5t + -1(5 + t) = 7
15 + -5t + (5 * -1 + t * -1) = 7
15 + -5t + (-5 + -1t) = 7

Reorder the terms:
15 + -5 + -5t + -1t = 7

Combine like terms: 15 + -5 = 10
10 + -5t + -1t = 7

Combine like terms: -5t + -1t = -6t
10 + -6t = 7

Solving
10 + -6t = 7

Solving for variable 't'.

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

Add '-10' to each side of the equation.
10 + -10 + -6t = 7 + -10

Combine like terms: 10 + -10 = 0
0 + -6t = 7 + -10
-6t = 7 + -10

Combine like terms: 7 + -10 = -3
-6t = -3

Divide each side by '-6'.
t = 0.5

Simplifying
t = 0.5

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