-5(t-8)-(t+7)=7

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Solution for -5(t-8)-(t+7)=7 equation: 


Simplifying
-5(t + -8) + -1(t + 7) = 7

Reorder the terms:
-5(-8 + t) + -1(t + 7) = 7
(-8 * -5 + t * -5) + -1(t + 7) = 7
(40 + -5t) + -1(t + 7) = 7

Reorder the terms:
40 + -5t + -1(7 + t) = 7
40 + -5t + (7 * -1 + t * -1) = 7
40 + -5t + (-7 + -1t) = 7

Reorder the terms:
40 + -7 + -5t + -1t = 7

Combine like terms: 40 + -7 = 33
33 + -5t + -1t = 7

Combine like terms: -5t + -1t = -6t
33 + -6t = 7

Solving
33 + -6t = 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 + -6t = 7 + -33

Combine like terms: 33 + -33 = 0
0 + -6t = 7 + -33
-6t = 7 + -33

Combine like terms: 7 + -33 = -26
-6t = -26

Divide each side by '-6'.
t = 4.333333333

Simplifying
t = 4.333333333

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