-5(t-4)+7t=6t-9

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Solution for -5(t-4)+7t=6t-9 equation:


Simplifying
-5(t + -4) + 7t = 6t + -9

Reorder the terms:
-5(-4 + t) + 7t = 6t + -9
(-4 * -5 + t * -5) + 7t = 6t + -9
(20 + -5t) + 7t = 6t + -9

Combine like terms: -5t + 7t = 2t
20 + 2t = 6t + -9

Reorder the terms:
20 + 2t = -9 + 6t

Solving
20 + 2t = -9 + 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.
20 + 2t + -6t = -9 + 6t + -6t

Combine like terms: 2t + -6t = -4t
20 + -4t = -9 + 6t + -6t

Combine like terms: 6t + -6t = 0
20 + -4t = -9 + 0
20 + -4t = -9

Add '-20' to each side of the equation.
20 + -20 + -4t = -9 + -20

Combine like terms: 20 + -20 = 0
0 + -4t = -9 + -20
-4t = -9 + -20

Combine like terms: -9 + -20 = -29
-4t = -29

Divide each side by '-4'.
t = 7.25

Simplifying
t = 7.25

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