-5(3t-4)+6t=7t-9

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Solution for -5(3t-4)+6t=7t-9 equation:


Simplifying
-5(3t + -4) + 6t = 7t + -9

Reorder the terms:
-5(-4 + 3t) + 6t = 7t + -9
(-4 * -5 + 3t * -5) + 6t = 7t + -9
(20 + -15t) + 6t = 7t + -9

Combine like terms: -15t + 6t = -9t
20 + -9t = 7t + -9

Reorder the terms:
20 + -9t = -9 + 7t

Solving
20 + -9t = -9 + 7t

Solving for variable 't'.

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

Add '-7t' to each side of the equation.
20 + -9t + -7t = -9 + 7t + -7t

Combine like terms: -9t + -7t = -16t
20 + -16t = -9 + 7t + -7t

Combine like terms: 7t + -7t = 0
20 + -16t = -9 + 0
20 + -16t = -9

Add '-20' to each side of the equation.
20 + -20 + -16t = -9 + -20

Combine like terms: 20 + -20 = 0
0 + -16t = -9 + -20
-16t = -9 + -20

Combine like terms: -9 + -20 = -29
-16t = -29

Divide each side by '-16'.
t = 1.8125

Simplifying
t = 1.8125

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