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

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


Simplifying
4(2t + -1(3 + -1t) + 5) = -1(2 + 7t)
4(2t + (3 * -1 + -1t * -1) + 5) = -1(2 + 7t)
4(2t + (-3 + 1t) + 5) = -1(2 + 7t)

Reorder the terms:
4(-3 + 5 + 2t + 1t) = -1(2 + 7t)

Combine like terms: -3 + 5 = 2
4(2 + 2t + 1t) = -1(2 + 7t)

Combine like terms: 2t + 1t = 3t
4(2 + 3t) = -1(2 + 7t)
(2 * 4 + 3t * 4) = -1(2 + 7t)
(8 + 12t) = -1(2 + 7t)
8 + 12t = (2 * -1 + 7t * -1)
8 + 12t = (-2 + -7t)

Solving
8 + 12t = -2 + -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.
8 + 12t + 7t = -2 + -7t + 7t

Combine like terms: 12t + 7t = 19t
8 + 19t = -2 + -7t + 7t

Combine like terms: -7t + 7t = 0
8 + 19t = -2 + 0
8 + 19t = -2

Add '-8' to each side of the equation.
8 + -8 + 19t = -2 + -8

Combine like terms: 8 + -8 = 0
0 + 19t = -2 + -8
19t = -2 + -8

Combine like terms: -2 + -8 = -10
19t = -10

Divide each side by '19'.
t = -0.5263157895

Simplifying
t = -0.5263157895

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