-2(4t-5)+5t=4t-7

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Solution for -2(4t-5)+5t=4t-7 equation:


Simplifying
-2(4t + -5) + 5t = 4t + -7

Reorder the terms:
-2(-5 + 4t) + 5t = 4t + -7
(-5 * -2 + 4t * -2) + 5t = 4t + -7
(10 + -8t) + 5t = 4t + -7

Combine like terms: -8t + 5t = -3t
10 + -3t = 4t + -7

Reorder the terms:
10 + -3t = -7 + 4t

Solving
10 + -3t = -7 + 4t

Solving for variable 't'.

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

Add '-4t' to each side of the equation.
10 + -3t + -4t = -7 + 4t + -4t

Combine like terms: -3t + -4t = -7t
10 + -7t = -7 + 4t + -4t

Combine like terms: 4t + -4t = 0
10 + -7t = -7 + 0
10 + -7t = -7

Add '-10' to each side of the equation.
10 + -10 + -7t = -7 + -10

Combine like terms: 10 + -10 = 0
0 + -7t = -7 + -10
-7t = -7 + -10

Combine like terms: -7 + -10 = -17
-7t = -17

Divide each side by '-7'.
t = 2.428571429

Simplifying
t = 2.428571429

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