-5(t-4)+9t=8t-7

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Solution for -5(t-4)+9t=8t-7 equation:


Simplifying
-5(t + -4) + 9t = 8t + -7

Reorder the terms:
-5(-4 + t) + 9t = 8t + -7
(-4 * -5 + t * -5) + 9t = 8t + -7
(20 + -5t) + 9t = 8t + -7

Combine like terms: -5t + 9t = 4t
20 + 4t = 8t + -7

Reorder the terms:
20 + 4t = -7 + 8t

Solving
20 + 4t = -7 + 8t

Solving for variable 't'.

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

Add '-8t' to each side of the equation.
20 + 4t + -8t = -7 + 8t + -8t

Combine like terms: 4t + -8t = -4t
20 + -4t = -7 + 8t + -8t

Combine like terms: 8t + -8t = 0
20 + -4t = -7 + 0
20 + -4t = -7

Add '-20' to each side of the equation.
20 + -20 + -4t = -7 + -20

Combine like terms: 20 + -20 = 0
0 + -4t = -7 + -20
-4t = -7 + -20

Combine like terms: -7 + -20 = -27
-4t = -27

Divide each side by '-4'.
t = 6.75

Simplifying
t = 6.75

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