-5(t-7)-(t+5)=9

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Solution for -5(t-7)-(t+5)=9 equation:


Simplifying
-5(t + -7) + -1(t + 5) = 9

Reorder the terms:
-5(-7 + t) + -1(t + 5) = 9
(-7 * -5 + t * -5) + -1(t + 5) = 9
(35 + -5t) + -1(t + 5) = 9

Reorder the terms:
35 + -5t + -1(5 + t) = 9
35 + -5t + (5 * -1 + t * -1) = 9
35 + -5t + (-5 + -1t) = 9

Reorder the terms:
35 + -5 + -5t + -1t = 9

Combine like terms: 35 + -5 = 30
30 + -5t + -1t = 9

Combine like terms: -5t + -1t = -6t
30 + -6t = 9

Solving
30 + -6t = 9

Solving for variable 't'.

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

Add '-30' to each side of the equation.
30 + -30 + -6t = 9 + -30

Combine like terms: 30 + -30 = 0
0 + -6t = 9 + -30
-6t = 9 + -30

Combine like terms: 9 + -30 = -21
-6t = -21

Divide each side by '-6'.
t = 3.5

Simplifying
t = 3.5

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