7+8(t-1)=6(t+9)+5

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Solution for 7+8(t-1)=6(t+9)+5 equation:


Simplifying
7 + 8(t + -1) = 6(t + 9) + 5

Reorder the terms:
7 + 8(-1 + t) = 6(t + 9) + 5
7 + (-1 * 8 + t * 8) = 6(t + 9) + 5
7 + (-8 + 8t) = 6(t + 9) + 5

Combine like terms: 7 + -8 = -1
-1 + 8t = 6(t + 9) + 5

Reorder the terms:
-1 + 8t = 6(9 + t) + 5
-1 + 8t = (9 * 6 + t * 6) + 5
-1 + 8t = (54 + 6t) + 5

Reorder the terms:
-1 + 8t = 54 + 5 + 6t

Combine like terms: 54 + 5 = 59
-1 + 8t = 59 + 6t

Solving
-1 + 8t = 59 + 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.
-1 + 8t + -6t = 59 + 6t + -6t

Combine like terms: 8t + -6t = 2t
-1 + 2t = 59 + 6t + -6t

Combine like terms: 6t + -6t = 0
-1 + 2t = 59 + 0
-1 + 2t = 59

Add '1' to each side of the equation.
-1 + 1 + 2t = 59 + 1

Combine like terms: -1 + 1 = 0
0 + 2t = 59 + 1
2t = 59 + 1

Combine like terms: 59 + 1 = 60
2t = 60

Divide each side by '2'.
t = 30

Simplifying
t = 30

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