4(4+t)=2(3t-1)+12

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Solution for 4(4+t)=2(3t-1)+12 equation: 


Simplifying
4(4 + t) = 2(3t + -1) + 12
(4 * 4 + t * 4) = 2(3t + -1) + 12
(16 + 4t) = 2(3t + -1) + 12

Reorder the terms:
16 + 4t = 2(-1 + 3t) + 12
16 + 4t = (-1 * 2 + 3t * 2) + 12
16 + 4t = (-2 + 6t) + 12

Reorder the terms:
16 + 4t = -2 + 12 + 6t

Combine like terms: -2 + 12 = 10
16 + 4t = 10 + 6t

Solving
16 + 4t = 10 + 6t

Solving for variable 't'.

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

Add '-6t' to each side of the equation.
16 + 4t + -6t = 10 + 6t + -6t

Combine like terms: 4t + -6t = -2t
16 + -2t = 10 + 6t + -6t

Combine like terms: 6t + -6t = 0
16 + -2t = 10 + 0
16 + -2t = 10

Add '-16' to each side of the equation.
16 + -16 + -2t = 10 + -16

Combine like terms: 16 + -16 = 0
0 + -2t = 10 + -16
-2t = 10 + -16

Combine like terms: 10 + -16 = -6
-2t = -6

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

Simplifying
t = 3

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