2(t-5)-3(3t-2)=11-5(7t+4)

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Solution for 2(t-5)-3(3t-2)=11-5(7t+4) equation:


Simplifying
2(t + -5) + -3(3t + -2) = 11 + -5(7t + 4)

Reorder the terms:
2(-5 + t) + -3(3t + -2) = 11 + -5(7t + 4)
(-5 * 2 + t * 2) + -3(3t + -2) = 11 + -5(7t + 4)
(-10 + 2t) + -3(3t + -2) = 11 + -5(7t + 4)

Reorder the terms:
-10 + 2t + -3(-2 + 3t) = 11 + -5(7t + 4)
-10 + 2t + (-2 * -3 + 3t * -3) = 11 + -5(7t + 4)
-10 + 2t + (6 + -9t) = 11 + -5(7t + 4)

Reorder the terms:
-10 + 6 + 2t + -9t = 11 + -5(7t + 4)

Combine like terms: -10 + 6 = -4
-4 + 2t + -9t = 11 + -5(7t + 4)

Combine like terms: 2t + -9t = -7t
-4 + -7t = 11 + -5(7t + 4)

Reorder the terms:
-4 + -7t = 11 + -5(4 + 7t)
-4 + -7t = 11 + (4 * -5 + 7t * -5)
-4 + -7t = 11 + (-20 + -35t)

Combine like terms: 11 + -20 = -9
-4 + -7t = -9 + -35t

Solving
-4 + -7t = -9 + -35t

Solving for variable 't'.

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

Add '35t' to each side of the equation.
-4 + -7t + 35t = -9 + -35t + 35t

Combine like terms: -7t + 35t = 28t
-4 + 28t = -9 + -35t + 35t

Combine like terms: -35t + 35t = 0
-4 + 28t = -9 + 0
-4 + 28t = -9

Add '4' to each side of the equation.
-4 + 4 + 28t = -9 + 4

Combine like terms: -4 + 4 = 0
0 + 28t = -9 + 4
28t = -9 + 4

Combine like terms: -9 + 4 = -5
28t = -5

Divide each side by '28'.
t = -0.1785714286

Simplifying
t = -0.1785714286

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