6(4-t)-55=-5(2t+3)

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Solution for 6(4-t)-55=-5(2t+3) equation:


Simplifying
6(4 + -1t) + -55 = -5(2t + 3)
(4 * 6 + -1t * 6) + -55 = -5(2t + 3)
(24 + -6t) + -55 = -5(2t + 3)

Reorder the terms:
24 + -55 + -6t = -5(2t + 3)

Combine like terms: 24 + -55 = -31
-31 + -6t = -5(2t + 3)

Reorder the terms:
-31 + -6t = -5(3 + 2t)
-31 + -6t = (3 * -5 + 2t * -5)
-31 + -6t = (-15 + -10t)

Solving
-31 + -6t = -15 + -10t

Solving for variable 't'.

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

Add '10t' to each side of the equation.
-31 + -6t + 10t = -15 + -10t + 10t

Combine like terms: -6t + 10t = 4t
-31 + 4t = -15 + -10t + 10t

Combine like terms: -10t + 10t = 0
-31 + 4t = -15 + 0
-31 + 4t = -15

Add '31' to each side of the equation.
-31 + 31 + 4t = -15 + 31

Combine like terms: -31 + 31 = 0
0 + 4t = -15 + 31
4t = -15 + 31

Combine like terms: -15 + 31 = 16
4t = 16

Divide each side by '4'.
t = 4

Simplifying
t = 4

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