5(t-5)-6(4t-1)=2-8(6t+5)

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Solution for 5(t-5)-6(4t-1)=2-8(6t+5) equation:


Simplifying
5(t + -5) + -6(4t + -1) = 2 + -8(6t + 5)

Reorder the terms:
5(-5 + t) + -6(4t + -1) = 2 + -8(6t + 5)
(-5 * 5 + t * 5) + -6(4t + -1) = 2 + -8(6t + 5)
(-25 + 5t) + -6(4t + -1) = 2 + -8(6t + 5)

Reorder the terms:
-25 + 5t + -6(-1 + 4t) = 2 + -8(6t + 5)
-25 + 5t + (-1 * -6 + 4t * -6) = 2 + -8(6t + 5)
-25 + 5t + (6 + -24t) = 2 + -8(6t + 5)

Reorder the terms:
-25 + 6 + 5t + -24t = 2 + -8(6t + 5)

Combine like terms: -25 + 6 = -19
-19 + 5t + -24t = 2 + -8(6t + 5)

Combine like terms: 5t + -24t = -19t
-19 + -19t = 2 + -8(6t + 5)

Reorder the terms:
-19 + -19t = 2 + -8(5 + 6t)
-19 + -19t = 2 + (5 * -8 + 6t * -8)
-19 + -19t = 2 + (-40 + -48t)

Combine like terms: 2 + -40 = -38
-19 + -19t = -38 + -48t

Solving
-19 + -19t = -38 + -48t

Solving for variable 't'.

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

Add '48t' to each side of the equation.
-19 + -19t + 48t = -38 + -48t + 48t

Combine like terms: -19t + 48t = 29t
-19 + 29t = -38 + -48t + 48t

Combine like terms: -48t + 48t = 0
-19 + 29t = -38 + 0
-19 + 29t = -38

Add '19' to each side of the equation.
-19 + 19 + 29t = -38 + 19

Combine like terms: -19 + 19 = 0
0 + 29t = -38 + 19
29t = -38 + 19

Combine like terms: -38 + 19 = -19
29t = -19

Divide each side by '29'.
t = -0.6551724138

Simplifying
t = -0.6551724138

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