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

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


Simplifying
2(t + 4) + -2(2t + 3) = -4

Reorder the terms:
2(4 + t) + -2(2t + 3) = -4
(4 * 2 + t * 2) + -2(2t + 3) = -4
(8 + 2t) + -2(2t + 3) = -4

Reorder the terms:
8 + 2t + -2(3 + 2t) = -4
8 + 2t + (3 * -2 + 2t * -2) = -4
8 + 2t + (-6 + -4t) = -4

Reorder the terms:
8 + -6 + 2t + -4t = -4

Combine like terms: 8 + -6 = 2
2 + 2t + -4t = -4

Combine like terms: 2t + -4t = -2t
2 + -2t = -4

Solving
2 + -2t = -4

Solving for variable 't'.

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

Add '-2' to each side of the equation.
2 + -2 + -2t = -4 + -2

Combine like terms: 2 + -2 = 0
0 + -2t = -4 + -2
-2t = -4 + -2

Combine like terms: -4 + -2 = -6
-2t = -6

Divide each side by '-2'.
t = 3

Simplifying
t = 3

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