-4(t-5)+6t=7t-1

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Solution for -4(t-5)+6t=7t-1 equation: 


Simplifying
-4(t + -5) + 6t = 7t + -1

Reorder the terms:
-4(-5 + t) + 6t = 7t + -1
(-5 * -4 + t * -4) + 6t = 7t + -1
(20 + -4t) + 6t = 7t + -1

Combine like terms: -4t + 6t = 2t
20 + 2t = 7t + -1

Reorder the terms:
20 + 2t = -1 + 7t

Solving
20 + 2t = -1 + 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 + 2t + -7t = -1 + 7t + -7t

Combine like terms: 2t + -7t = -5t
20 + -5t = -1 + 7t + -7t

Combine like terms: 7t + -7t = 0
20 + -5t = -1 + 0
20 + -5t = -1

Add '-20' to each side of the equation.
20 + -20 + -5t = -1 + -20

Combine like terms: 20 + -20 = 0
0 + -5t = -1 + -20
-5t = -1 + -20

Combine like terms: -1 + -20 = -21
-5t = -21

Divide each side by '-5'.
t = 4.2

Simplifying
t = 4.2

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