9+8(t-5)=6(t+4)+9

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Solution for 9+8(t-5)=6(t+4)+9 equation:


Simplifying
9 + 8(t + -5) = 6(t + 4) + 9

Reorder the terms:
9 + 8(-5 + t) = 6(t + 4) + 9
9 + (-5 * 8 + t * 8) = 6(t + 4) + 9
9 + (-40 + 8t) = 6(t + 4) + 9

Combine like terms: 9 + -40 = -31
-31 + 8t = 6(t + 4) + 9

Reorder the terms:
-31 + 8t = 6(4 + t) + 9
-31 + 8t = (4 * 6 + t * 6) + 9
-31 + 8t = (24 + 6t) + 9

Reorder the terms:
-31 + 8t = 24 + 9 + 6t

Combine like terms: 24 + 9 = 33
-31 + 8t = 33 + 6t

Solving
-31 + 8t = 33 + 6t

Solving for variable 't'.

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

Add '-6t' to each side of the equation.
-31 + 8t + -6t = 33 + 6t + -6t

Combine like terms: 8t + -6t = 2t
-31 + 2t = 33 + 6t + -6t

Combine like terms: 6t + -6t = 0
-31 + 2t = 33 + 0
-31 + 2t = 33

Add '31' to each side of the equation.
-31 + 31 + 2t = 33 + 31

Combine like terms: -31 + 31 = 0
0 + 2t = 33 + 31
2t = 33 + 31

Combine like terms: 33 + 31 = 64
2t = 64

Divide each side by '2'.
t = 32

Simplifying
t = 32

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