4(t-3)+3(t+4)=2t-16

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Solution for 4(t-3)+3(t+4)=2t-16 equation: 


Simplifying
4(t + -3) + 3(t + 4) = 2t + -16

Reorder the terms:
4(-3 + t) + 3(t + 4) = 2t + -16
(-3 * 4 + t * 4) + 3(t + 4) = 2t + -16
(-12 + 4t) + 3(t + 4) = 2t + -16

Reorder the terms:
-12 + 4t + 3(4 + t) = 2t + -16
-12 + 4t + (4 * 3 + t * 3) = 2t + -16
-12 + 4t + (12 + 3t) = 2t + -16

Reorder the terms:
-12 + 12 + 4t + 3t = 2t + -16

Combine like terms: -12 + 12 = 0
0 + 4t + 3t = 2t + -16
4t + 3t = 2t + -16

Combine like terms: 4t + 3t = 7t
7t = 2t + -16

Reorder the terms:
7t = -16 + 2t

Solving
7t = -16 + 2t

Solving for variable 't'.

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

Add '-2t' to each side of the equation.
7t + -2t = -16 + 2t + -2t

Combine like terms: 7t + -2t = 5t
5t = -16 + 2t + -2t

Combine like terms: 2t + -2t = 0
5t = -16 + 0
5t = -16

Divide each side by '5'.
t = -3.2

Simplifying
t = -3.2

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