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

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


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

Reorder the terms:
-5(-5 + t) + -1(t + 9) = 9
(-5 * -5 + t * -5) + -1(t + 9) = 9
(25 + -5t) + -1(t + 9) = 9

Reorder the terms:
25 + -5t + -1(9 + t) = 9
25 + -5t + (9 * -1 + t * -1) = 9
25 + -5t + (-9 + -1t) = 9

Reorder the terms:
25 + -9 + -5t + -1t = 9

Combine like terms: 25 + -9 = 16
16 + -5t + -1t = 9

Combine like terms: -5t + -1t = -6t
16 + -6t = 9

Solving
16 + -6t = 9

Solving for variable 't'.

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

Add '-16' to each side of the equation.
16 + -16 + -6t = 9 + -16

Combine like terms: 16 + -16 = 0
0 + -6t = 9 + -16
-6t = 9 + -16

Combine like terms: 9 + -16 = -7
-6t = -7

Divide each side by '-6'.
t = 1.166666667

Simplifying
t = 1.166666667

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