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

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


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

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

Combine like terms: -4t + 7t = 3t
20 + 3t = 9t + -7

Reorder the terms:
20 + 3t = -7 + 9t

Solving
20 + 3t = -7 + 9t

Solving for variable 't'.

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

Add '-9t' to each side of the equation.
20 + 3t + -9t = -7 + 9t + -9t

Combine like terms: 3t + -9t = -6t
20 + -6t = -7 + 9t + -9t

Combine like terms: 9t + -9t = 0
20 + -6t = -7 + 0
20 + -6t = -7

Add '-20' to each side of the equation.
20 + -20 + -6t = -7 + -20

Combine like terms: 20 + -20 = 0
0 + -6t = -7 + -20
-6t = -7 + -20

Combine like terms: -7 + -20 = -27
-6t = -27

Divide each side by '-6'.
t = 4.5

Simplifying
t = 4.5

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